Buium, Alexandru; Miller, Lance Edward Purely arithmetic PDEs over a \(p\)-adic field: \(\delta\)-characters and \(\delta\)-modular forms. (English) Zbl 07735010 Memoirs of the European Mathematical Society 6. Berlin: European Mathematical Society (ISBN 978-3-98547-057-0/pbk; 978-3-98547-557-5/ebook). viii, 106 p. (2023). MSC: 11-02 11F32 11F85 11G07 11G18 PDFBibTeX XMLCite \textit{A. Buium} and \textit{L. E. Miller}, Purely arithmetic PDEs over a \(p\)-adic field: \(\delta\)-characters and \(\delta\)-modular forms. Berlin: European Mathematical Society (2023; Zbl 07735010) Full Text: DOI arXiv
Bertolini, Massimo; Darmon, Henri; Rotger, Victor; Seveso, Marco Adamo; Venerucci, Rodolfo Heegner points, Stark-Heegner points, and diagonal classes. (English) Zbl 07635225 Astérisque 434. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-959-3/pbk). xviii, 201 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11-02 11G05 11G40 11R23 11R34 PDFBibTeX XMLCite \textit{M. Bertolini} et al., Heegner points, Stark-Heegner points, and diagonal classes. Paris: Société Mathématique de France (SMF) (2022; Zbl 07635225) Full Text: DOI
Voight, John; Zureick-Brown, David The canonical ring of a stacky curve. (English) Zbl 1497.14119 Memoirs of the American Mathematical Society 1362. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5228-5/pbk; 978-1-4704-7094-4/ebook). v, 144 p. (2022). Reviewer: Lei Yang (Beijing) MSC: 14Q05 11F11 PDFBibTeX XMLCite \textit{J. Voight} and \textit{D. Zureick-Brown}, The canonical ring of a stacky curve. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1497.14119) Full Text: DOI arXiv
Movasati, Hossein Modular and automorphic forms & beyond. (English) Zbl 1503.11001 Monographs in Number Theory 9. Singapore: World Scientific (ISBN 978-981-12-3867-3/hbk; 981-12-3869-3/ebook). xx, 302 p. (2022). Reviewer: Ivan Matić (Osijek) MSC: 11-01 11Fxx PDFBibTeX XMLCite \textit{H. Movasati}, Modular and automorphic forms \& beyond. Singapore: World Scientific (2022; Zbl 1503.11001) Full Text: DOI
Milne, James S. Elliptic curves. 2nd revised and updated edition. (English) Zbl 1446.14001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2183-5/hbk; 978-981-12-2185-9/ebook). x, 308 p. (2020). MSC: 14-01 14H52 11-01 11G05 11G40 14G10 11F11 11D41 PDFBibTeX XMLCite \textit{J. S. Milne}, Elliptic curves. 2nd revised and updated edition. Hackensack, NJ: World Scientific (2020; Zbl 1446.14001) Full Text: DOI
Chan, Heng Huat Theta functions, elliptic functions and \(\pi\). (English) Zbl 1458.11002 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-054071-0/pbk; 978-3-11-054191-5/ebook). xvi, 122 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11F03 33D15 33E05 33C75 14H42 PDFBibTeX XMLCite \textit{H. H. Chan}, Theta functions, elliptic functions and \(\pi\). Berlin: De Gruyter (2020; Zbl 1458.11002) Full Text: DOI
Tsfasman, Michael; Vlǎduţ, Serge; Nogin, Dmitry Algebraic geometry codes: advanced chapters. (English) Zbl 1422.14004 Mathematical Surveys and Monographs 238. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4865-3/hbk; 978-1-4704-5263-6/ebook). x, 453 p. (2019). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14-02 11-02 94-02 14G50 94B27 94B35 11R37 11R58 11T71 81P94 PDFBibTeX XMLCite \textit{M. Tsfasman} et al., Algebraic geometry codes: advanced chapters. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1422.14004) Full Text: DOI
Akbary, Amir (ed.); Gun, Sanoli (ed.) Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. (English) Zbl 1403.11002 Springer Proceedings in Mathematics & Statistics 251. Cham: Springer (ISBN 978-3-319-97378-4/hbk; 978-3-319-97379-1/ebook). vi, 528 p. (2018). MSC: 11-06 11G05 11M36 11G10 11G18 14G35 94B27 00B25 PDFBibTeX XMLCite \textit{A. Akbary} (ed.) and \textit{S. Gun} (ed.), Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer (2018; Zbl 1403.11002) Full Text: DOI
Fleig, Philipp; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel Eisenstein series and automorphic representations. With applications in string theory. (English) Zbl 1435.11001 Cambridge Studies in Advanced Mathematics 176. Cambridge: Cambridge University Press (ISBN 978-1-107-18992-8/hbk; 978-1-316-99586-0/ebook). xviii, 567 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11F03 11F70 11M36 PDFBibTeX XMLCite \textit{P. Fleig} et al., Eisenstein series and automorphic representations. With applications in string theory. Cambridge: Cambridge University Press (2018; Zbl 1435.11001) Full Text: DOI
Cohen, Henri; Strömberg, Fredrik Modular forms: a classical approach. (English) Zbl 1464.11001 Graduate Studies in Mathematics 179. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4947-7/hbk; 978-1-4704-4081-7/ebook). xii, 700 p. (2017). Reviewer: Goran Djankovic (Beograd) MSC: 11-01 11Fxx 11G05 33B15 33C10 11L05 PDFBibTeX XMLCite \textit{H. Cohen} and \textit{F. Strömberg}, Modular forms: a classical approach. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1464.11001) Full Text: DOI
Masser, David Auxiliary polynomials in number theory. (English) Zbl 1354.11002 Cambridge Tracts in Mathematics 207. Cambridge: Cambridge University Press (ISBN 978-1-107-06157-6/hbk; 978-1-107-44801-8/ebook). xviii, 348 p. (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 11-01 11Jxx PDFBibTeX XMLCite \textit{D. Masser}, Auxiliary polynomials in number theory. Cambridge: Cambridge University Press (2016; Zbl 1354.11002) Full Text: DOI
Stewart, Ian; Tall, David Algebraic number theory and Fermat’s last theorem. 4th edition. (English) Zbl 1332.11001 Boca Raton, FL: CRC Press (ISBN 978-1-4987-3839-2/hbk; 978-1-4987-3841-5/ebook). xix, 322 p. (2016). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11D41 11R23 11R27 11Rxx 11G05 11F03 PDFBibTeX XMLCite \textit{I. Stewart} and \textit{D. Tall}, Algebraic number theory and Fermat's last theorem. 4th edition. Boca Raton, FL: CRC Press (2016; Zbl 1332.11001)
Cojocaru, A. C. (ed.); David, C. (ed.); Pappalardi, F. (ed.) SCHOLAR – a scientific celebration highlighting open lines of arithmetic research. Conference in honour of M. Ram Murty’s mathematical legacy on his 60th birthday, Centre de Recherches Mathématiques, Université de Montréal, Canada, October 15–17, 2013. (English) Zbl 1334.11003 Contemporary Mathematics 655. Centre de Recherches Mathématiques Proceedings. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-1457-3/pbk; 978-1-4704-2843-3/ebook). xv, 256 p. (2015). MSC: 11-06 11N05 11N37 11M06 11L03 11J81 11G05 11F03 00B25 00B30 PDFBibTeX XMLCite \textit{A. C. Cojocaru} (ed.) et al., SCHOLAR -- a scientific celebration highlighting open lines of arithmetic research. Conference in honour of M. Ram Murty's mathematical legacy on his 60th birthday, Centre de Recherches Mathématiques, Université de Montréal, Canada, October 15--17, 2013. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (2015; Zbl 1334.11003) Full Text: DOI
Chamizo, Fernando (ed.); Guàrdia, Jordi (ed.); Rojas-León, Antonio (ed.); Tornero, José María (ed.) Trends in number theory. Fifth Spanish meeting on number theory, Universidad de Sevilla, Sevilla, Spain, July 8–12, 2013. Proceedings. (English) Zbl 1327.11003 Contemporary Mathematics 649. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-0-8218-9858-1/pbk; 978-1-4704-2729-0/ebook). x, 244 p. (2015). MSC: 11-06 11F03 11F37 11G05 11G30 14F10 12F12 16T05 00B25 PDFBibTeX XMLCite \textit{F. Chamizo} (ed.) et al., Trends in number theory. Fifth Spanish meeting on number theory, Universidad de Sevilla, Sevilla, Spain, July 8--12, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (2015; Zbl 1327.11003) Full Text: DOI arXiv
Bermúdez Tobón, Yamidt An efficient algorithm to compute an elliptic curve from a corresponding function field automorphic form. (English) Zbl 1319.11034 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). vi, 174 p. (2015). MSC: 11G05 11F52 11G09 14H52 11-02 PDFBibTeX XMLCite \textit{Y. Bermúdez Tobón}, An efficient algorithm to compute an elliptic curve from a corresponding function field automorphic form. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1319.11034) Full Text: Link Link
Colmez, Pierre (ed.); Serre, Jean-Pierre (ed.) [Tate, John] Correspondence Serre – Tate. Volume I. (Correspondance Serre – Tate. Volume I.) (French, English) Zbl 1326.11001 Documents Mathématiques 13. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-802-2/hbk). xviii, 448 p. (2015). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-03 01A60 01A70 01A72 14-03 PDFBibTeX XMLCite \textit{P. Colmez} (ed.) and \textit{J.-P. Serre} (ed.), Correspondance Serre -- Tate. Volume I. Paris: Société Mathématique de France (SMF) (2015; Zbl 1326.11001)
Wilkie, A. J. (ed.); Jones, Gareth Owen (ed.) O-minimality and diophantine geometry. Including lecture notes from the LMS-EPSRC short course, Manchester, UK, July 2013. (English) Zbl 1326.11003 London Mathematical Society Lecture Note Series 421. Cambridge: Cambridge University Press (ISBN 978-1-107-46249-6/pbk; 978-1-316-10683-9/ebook). xii, 221 p. (2015). MSC: 11-06 11G05 11G10 11G18 14G35 14H52 03C64 00B25 PDFBibTeX XMLCite \textit{A. J. Wilkie} (ed.) and \textit{G. O. Jones} (ed.), O-minimality and diophantine geometry. Including lecture notes from the LMS-EPSRC short course, Manchester, UK, July 2013. Cambridge: Cambridge University Press (2015; Zbl 1326.11003) Full Text: DOI
Saito, Takeshi Fermat’s last theorem. The proof. Translated from the Japanese by Masato Kuwata. (English) Zbl 1311.11005 Translations of Mathematical Monographs 245; Iwanami Series in Modern Mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9849-9/pbk). xv, 222 p. (2014). Link to issue. Reviewer: Przemyslaw Chojecki (Oxford) MSC: 11-02 11F11 11D41 11G05 11F80 11G18 PDFBibTeX XMLCite \textit{T. Saito}, Fermat's last theorem. The proof. Translated from the Japanese by Masato Kuwata. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1311.11005)
Douglas, Christopher L. (ed.); Francis, John (ed.); Henriques, André G. (ed.); Hill, Michael A. (ed.) Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25–31, 2007. (English) Zbl 1304.55002 Mathematical Surveys and Monographs 201. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1884-7/hbk). xxxi, 318 p. (2014). Reviewer: Paul Goerss (Evanston) MSC: 55-06 55N34 55N35 55T05 55N22 57R77 18G40 13D03 00B25 PDFBibTeX XMLCite \textit{C. L. Douglas} (ed.) et al., Topological modular forms. Based on the Talbot workshop, North Conway, NH, USA, March 25--31, 2007. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1304.55002)
Diamond, Fred (ed.); Kassaei, Payman L. (ed.); Kim, Minhyong (ed.) Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 2. (English) Zbl 1310.11003 London Mathematical Society Lecture Note Series 415. Cambridge: Cambridge University Press (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). vii, 378 p. (2014). MSC: 11-06 11Sxx 11F60 11G18 11R23 14H25 14H30 16T05 22E50 00B25 PDFBibTeX XMLCite \textit{F. Diamond} (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) -- EPSRC Durham symposium, Durham, UK, July 18--28, 2011. Volume 2. Cambridge: Cambridge University Press (2014; Zbl 1310.11003) Full Text: DOI
Weiß, Christian Twisted Teichmüller curves. (English) Zbl 1312.14079 Lecture Notes in Mathematics 2104. Cham: Springer (ISBN 978-3-319-04074-5/pbk; 978-3-319-04075-2/ebook). xvi, 166 p. (2014). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H25 14G35 14-02 14H40 PDFBibTeX XMLCite \textit{C. Weiß}, Twisted Teichmüller curves. Cham: Springer (2014; Zbl 1312.14079) Full Text: DOI arXiv
Ehlen, Stephan Jakob CM values of regularized theta lifts. (English) Zbl 1320.11053 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). viii, 163 p. (2013). MSC: 11G15 11F27 11F03 11G05 PDFBibTeX XMLCite \textit{S. J. Ehlen}, CM values of regularized theta lifts. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2013; Zbl 1320.11053) Full Text: Link
Amini, Omid (ed.); Baker, Matthew (ed.); Faber, Xander (ed.) Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. (English) Zbl 1281.14002 Contemporary Mathematics 605. Centre de Recherches Mathématiques Proceedings. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (ISBN 978-1-4704-1021-6/pbk). xiv, 256 p. (2013). MSC: 14-06 14T05 14M25 14G22 14G35 14G40 14H10 14H40 00B25 PDFBibTeX XMLCite \textit{O. Amini} (ed.) et al., Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6--13, 2011. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (2013; Zbl 1281.14002) Full Text: DOI
Saito, Takeshi Fermat’s last theorem. Basic tools. Translated from the Japanese by Masato Kuwata. (English) Zbl 1311.11004 Translations of Mathematical Monographs 243; Iwanami Series in Modern Mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9848-2/pbk). xv, 200 p. (2013). Link to issue. Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11-02 11G05 11F11 11F80 11G18 11D41 PDFBibTeX XMLCite \textit{T. Saito}, Fermat's last theorem. Basic tools. Translated from the Japanese by Masato Kuwata. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1311.11004)
Hida, Haruzo Elliptic curves and arithmetic invariants. (English) Zbl 1284.11001 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-1-4614-6656-7/hbk; 978-1-4614-6657-4/ebook). xviii, 449 p. (2013). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11-02 11G18 11G05 11G15 11F67 11F80 11R23 14A20 14G35 PDFBibTeX XMLCite \textit{H. Hida}, Elliptic curves and arithmetic invariants. New York, NY: Springer (2013; Zbl 1284.11001) Full Text: DOI
Sobczyk, Garret New foundations in mathematics. The geometric concept of number. (English) Zbl 1273.53001 New York, NY: Birkhäuser (ISBN 978-0-8176-8384-9/hbk; 978-0-8176-8385-6/ebook). xiv, 370 p. (2013). Reviewer: Ana Pereira do Vale (Braga) MSC: 53-01 00-01 00A05 15-01 53Axx 51Nxx 17B45 20B30 22E60 58A05 83A05 PDFBibTeX XMLCite \textit{G. Sobczyk}, New foundations in mathematics. The geometric concept of number. New York, NY: Birkhäuser (2013; Zbl 1273.53001) Full Text: DOI arXiv
Das, Abhijit Computational number theory. (English) Zbl 1272.11136 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-6615-3/hbk). xviii, 596 p. (2013). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Yxx 11-01 11-04 11Y05 11Y11 11Y16 11T71 14G50 94A60 PDFBibTeX XMLCite \textit{A. Das}, Computational number theory. Boca Raton, FL: CRC Press (2013; Zbl 1272.11136)
Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei The Gross-Zagier formula on Shimura curves. (English) Zbl 1272.11082 Annals of Mathematics Studies 184. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15592-0/pbk; 978-0-691-15591-3/hbk; 978-1-400-84564-4/ebook). viii, 256 p. (2013). Reviewer: Chia-Fu Yu (Taipei) MSC: 11G18 14G35 11-02 PDFBibTeX XMLCite \textit{X. Yuan} et al., The Gross-Zagier formula on Shimura curves. Princeton, NJ: Princeton University Press (2013; Zbl 1272.11082) Full Text: DOI
Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. (English) Zbl 1259.11001 Translations of Mathematical Monographs 242; Iwanami Series in Modern Mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-2095-7/pbk). xiv, 226 p. (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11F03 11M36 11R23 11S37 PDFBibTeX XMLCite \textit{N. Kurokawa} et al., Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1259.11001)
Degtyarev, Alex Topology of algebraic curves. An approach via dessins d’enfants. (English) Zbl 1273.14065 de Gruyter Studies in Mathematics 44. Berlin: de Gruyter (ISBN 978-3-11-025591-1/hbk; 978-3-11-025842-4/ebook). xvi, 393 p. (2012). Reviewer: Ilia Itenberg (Paris) MSC: 14-02 14H50 14H30 14J27 14P25 14H57 20F36 11F06 05C90 PDFBibTeX XMLCite \textit{A. Degtyarev}, Topology of algebraic curves. An approach via dessins d'enfants. Berlin: de Gruyter (2012; Zbl 1273.14065) Full Text: DOI
Hida, Haruzo Geometric modular forms and elliptic curves. 2nd ed. (English) Zbl 1254.11055 Singapore: World Scientific (ISBN 978-981-4368-64-3/hbk; 978-981-4368-65-0/ebook). xiii, 454 p. (2012). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11G05 11-02 11F85 11F11 14G20 14-02 PDFBibTeX XMLCite \textit{H. Hida}, Geometric modular forms and elliptic curves. 2nd ed. Singapore: World Scientific (2012; Zbl 1254.11055) Full Text: Link
Venkatachaliengar, K. Cooper, Shaun (ed.) Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. (English) Zbl 1247.11003 Monographs in Number Theory 6. Hackensack, NJ: World Scientific (ISBN 978-981-4366-45-8/hbk; 978-981-4366-46-5/ebook). xv, 168 p. (2012). Reviewer: József Sándor (Cluj-Napoca) MSC: 11-02 11G05 11F03 33E05 33C05 33-02 PDFBibTeX XMLCite \textit{K. Venkatachaliengar} and \textit{S. Cooper} (ed.), Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. Hackensack, NJ: World Scientific (2012; Zbl 1247.11003) Full Text: Link
Narkiewicz, Władysław Rational number theory in the 20th century. From PNT to FLT. (English) Zbl 1230.11001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-0-85729-531-6/hbk; 978-0-85729-532-3/ebook). xiv, 654 p. (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11-03 11-00 01A60 PDFBibTeX XMLCite \textit{W. Narkiewicz}, Rational number theory in the 20th century. From PNT to FLT. Berlin: Springer (2012; Zbl 1230.11001) Full Text: DOI
Proceedings of the conference “Number theory and its applications”, CIRM, Luminy, France, November 30–December 4, 2009. (Actes de la conférence “Théorie des nombres et applications”.) (English) Zbl 1218.11001 Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011. Besançon: Presses Universitaires de Franche-Comté. 135 p., open access (2011). MSC: 11-06 11G20 11F03 11N35 11Y40 14H45 00B25 PDFBibTeX XMLCite Actes de la conférence ``Théorie des nombres et applications''. Besançon: Presses Universitaires de Franche-Comté (2011; Zbl 1218.11001) Full Text: Link
Fricke, Robert The elliptic functions and their applications. First part: The function-theoretic and analytic foundations. Reprint of the 1916 original published by Teubner. (Die elliptischen Funktionen und ihre Anwendungen. Erster Teil: Die funktionentheoretischen und analytischen Grundlagen.) (German) Zbl 1230.01036 Berlin: Springer (ISBN 978-3-642-19556-3/pbk; 978-3-642-19557-0/ebook). xviii, 500 p. (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A75 11-03 11-01 11F03 30F10 PDFBibTeX XMLCite \textit{R. Fricke}, Die elliptischen Funktionen und ihre Anwendungen. Erster Teil: Die funktionentheoretischen und analytischen Grundlagen. Reprint of the 1916 original published by Teubner. Berlin: Springer (2011; Zbl 1230.01036) Full Text: DOI
Greenberg, Ralph Iwasawa theory, projective modules, and modular representations. (English) Zbl 1247.11085 Mem. Am. Math. Soc. 992, v, 185 p. (2011). Reviewer: Andreas Nickel (Bielefeld) MSC: 11G05 11R23 11-02 20C20 PDFBibTeX XMLCite \textit{R. Greenberg}, Iwasawa theory, projective modules, and modular representations. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1247.11085) Full Text: DOI
Lozano-Robledo, Álvaro Elliptic curves, modular forms, and their \(L\)-functions. (English) Zbl 1267.11073 Student Mathematical Library 58. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5242-2/pbk). xiv, 195 p. (2011). MSC: 11G05 11F11 11G40 14H52 11-01 PDFBibTeX XMLCite \textit{Á. Lozano-Robledo}, Elliptic curves, modular forms, and their \(L\)-functions. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1267.11073)
Langer, Andreas Modular forms, elliptic and modular curves. Lectures at Kyushu University 2010. (English) Zbl 1238.11053 COE Lecture Note 28. Fukuoka: Kyushu University, Faculty of Mathematics, COE Program Math-for-Industry, Education and Research Hub. 62 p. (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F11 11G05 11G18 11-01 11G40 PDFBibTeX XMLCite \textit{A. Langer}, Modular forms, elliptic and modular curves. Lectures at Kyushu University 2010. Fukuoka: Kyushu University, Faculty of Mathematics, COE Program Math-for-Industry, Education and Research Hub (2010; Zbl 1238.11053)
Mozzochi, C. J. The Fermat proof. (English) Zbl 1189.11001 Allahabad Mathematical Society Lecture Note Series 4. Allahabad: The Allahabad Mathematical Society (ISBN 978-81-908159-4-9/pbk). vi, 65 p. (2010). MSC: 11-01 11G05 11F80 11D41 00A06 11F11 PDFBibTeX XMLCite \textit{C. J. Mozzochi}, The Fermat proof. Allahabad: The Allahabad Mathematical Society (2010; Zbl 1189.11001)
Mollin, Richard A. Advanced number theory with applications. (English) Zbl 1200.11002 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4200-8328-6/hbk; 978-1-138-11325-1/pbk; 978-1-4200-8329-3/ebook). xiii, 466 p. (2010). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11R04 11E12 11G05 11M06 11F03 PDFBibTeX XMLCite \textit{R. A. Mollin}, Advanced number theory with applications. Boca Raton, FL: CRC Press (2010; Zbl 1200.11002) Full Text: DOI
Reilly, Norman R. Introduction to applied algebraic systems. (English) Zbl 1186.00003 Oxford: Oxford University Press (ISBN 978-0-19-536787-4/hbk). xiii, 509 p. (2010). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 00A05 11-01 12-01 13-01 20-01 94A60 08-01 PDFBibTeX XMLCite \textit{N. R. Reilly}, Introduction to applied algebraic systems. Oxford: Oxford University Press (2010; Zbl 1186.00003)
Kroworsch, Wolfgang Congruences of singular moduli. (English) Zbl 1375.11001 Ulm: Univ. Ulm, Fakultät für Mathematik und Wirtschaftswissenschaften (Diss.). viii, 91 p. (2009). MSC: 11-02 11F03 11G05 PDFBibTeX XMLCite \textit{W. Kroworsch}, Congruences of singular moduli. Ulm: Univ. Ulm, Fakultät für Mathematik und Wirtschaftswissenschaften (Diss.) (2009; Zbl 1375.11001)
Petkova, Maria Families of algebraic curves with application in coding theory and cryptography. (English) Zbl 1296.14022 Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (Diss.). 105 p. (2009). MSC: 14G50 14G35 94A60 94B27 11G18 PDFBibTeX XMLCite \textit{M. Petkova}, Families of algebraic curves with application in coding theory and cryptography. Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (Diss.) (2009; Zbl 1296.14022)
Rohde, Jan Christian Cyclic coverings, Calabi-Yau manifolds and complex multiplication. (English) Zbl 1168.14001 Lecture Notes in Mathematics 1975. Berlin: Springer (ISBN 978-3-642-00638-8/pbk; 978-3-642-00639-5/ebook). ix, 228 p. (2009). Reviewer: Noriko Yui (Kingston) MSC: 14-02 11-02 14J32 11G15 14D07 14G35 14H30 32G20 32Q25 PDFBibTeX XMLCite \textit{J. C. Rohde}, Cyclic coverings, Calabi-Yau manifolds and complex multiplication. Berlin: Springer (2009; Zbl 1168.14001) Full Text: DOI arXiv
Mellit, Anton Higher Green’s functions for modular forms. (English) Zbl 1361.11003 Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). 119 p. (2008). MSC: 11-02 11F11 11G15 14C25 PDFBibTeX XMLCite \textit{A. Mellit}, Higher Green's functions for modular forms. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2008; Zbl 1361.11003) Full Text: arXiv Link Link
Ihara, Yasutaka On congruence monodromy problems. Reproduction of the Lecture Notes: Volume 1 (1968), Volume 2 (1969) (University of Tokyo), with author’s notes (2008). (English) Zbl 1166.14301 MSJ Memoirs 18. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-50-1). xviii, 230 p. (2008). MSC: 14H52 14H10 14G20 22E40 11G15 14K22 14G10 11F03 22E50 PDFBibTeX XMLCite \textit{Y. Ihara}, On congruence monodromy problems. Reproduction of the Lecture Notes: Volume 1 (1968), Volume 2 (1969) (University of Tokyo), with author's notes (2008). Tokyo: Mathematical Society of Japan (2008; Zbl 1166.14301) Full Text: DOI Link
Delbourgo, Daniel Elliptic curves and big Galois representations. (English) Zbl 1188.11028 London Mathematical Society Lecture Note Series 356. Cambridge: Cambridge University Press (ISBN 978-0-521-72866-9/pbk). ix, 281 p. (2008). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11F80 11-02 11F11 11R32 14Gxx 11G40 11F33 11F67 11R23 PDFBibTeX XMLCite \textit{D. Delbourgo}, Elliptic curves and big Galois representations. Cambridge: Cambridge University Press (2008; Zbl 1188.11028)
Shimura, Goro Elementary Dirichlet series and modular forms. (English) Zbl 1148.11002 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-0-387-72473-7/hbk). viii, 147 p. (2007). Reviewer: Jürgen Elstrodt (Münster) MSC: 11-01 11F11 11F66 11F67 11G05 11G10 11G15 11M06 11M20 11M41 11R29 PDFBibTeX XMLCite \textit{G. Shimura}, Elementary Dirichlet series and modular forms. New York, NY: Springer (2007; Zbl 1148.11002) Full Text: DOI
Mumford, David [Musili, C.; Nori, M.; Previato, E.; Stillman, M.] Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman. Reprint of the 1983 edition. (English) Zbl 1112.14002 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-4572-4/pbk; 978-0-8176-4577-9/ebook). xiv, 236 p. (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14-02 14K25 11F11 14H10 14H42 PDFBibTeX XMLCite \textit{D. Mumford}, Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman. Reprint of the 1983 edition. Basel: Birkhäuser (2007; Zbl 1112.14002)
Koecher, Max; Krieg, Aloys Elliptic functions and modular forms. 2nd revised ed. (Elliptische Funktionen und Modulformen.) (German) Zbl 1129.11001 Berlin: Springer (ISBN 978-3-540-49324-2/pbk). viii, 331 p. (2007). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11F11 33E05 14H52 11F25 11G15 11F27 11F66 11G05 PDFBibTeX XMLCite \textit{M. Koecher} and \textit{A. Krieg}, Elliptische Funktionen und Modulformen. 2nd revised ed. Berlin: Springer (2007; Zbl 1129.11001)
Cohen, Henri [Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice; Duquesne, Sylvain; Siksek, Samir] Number theory. Volume II: Analytic and modern tools. (English) Zbl 1119.11002 Graduate Texts in Mathematics 240. New York, NY: Springer (ISBN 978-0-387-49893-5/hbk). xiii, 596 p. (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11-02 11Mxx 11Sxx 11Dxx 11Gxx 11B68 11J86 PDFBibTeX XMLCite \textit{H. Cohen}, Number theory. Volume II: Analytic and modern tools. New York, NY: Springer (2007; Zbl 1119.11002) Full Text: DOI
Milne, J. S. Elliptic curves. (English) Zbl 1112.14001 Kea Books. Charleston, SC: BookSurge, LLC (ISBN 1-4196-5257-5/pbk). viii, 238 p. (2006). Reviewer: Werner Kleinert (Berlin) MSC: 14-01 14H52 11-01 11G05 11G40 14G10 11F11 11D41 PDFBibTeX XMLCite \textit{J. S. Milne}, Elliptic curves. Charleston, SC: BookSurge, LLC (2006; Zbl 1112.14001)
Armitage, J. V.; Eberlein, W. F. Elliptic functions. (English) Zbl 1105.14001 London Mathematical Society Student Texts 67. Cambridge: Cambridge University Press (ISBN 0-521-78563-4/pbk; 0-521-78078-0/hbk; 0-511-23974-2/ebook). xiii, 387 p. £ 24.95, $ 42.99/pbk; £ 50.00, $ 90.00/hbk; $ 34.00/e-book (2006). Reviewer: Werner Kleinert (Berlin) MSC: 14-02 33-02 14K25 33E05 11E25 14-01 33-01 14K20 01A50 00A05 PDFBibTeX XMLCite \textit{J. V. Armitage} and \textit{W. F. Eberlein}, Elliptic functions. Cambridge: Cambridge University Press (2006; Zbl 1105.14001)
Ekedahl, Torsten One semester of elliptic curves. (English) Zbl 1083.11001 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-015-9/pbk). viii, 130 p. (2006). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11-01 11G05 14H52 PDFBibTeX XMLCite \textit{T. Ekedahl}, One semester of elliptic curves. Zürich: European Mathematical Society Publishing House (2006; Zbl 1083.11001) Full Text: DOI
Debarre, Olivier Complex tori and Abelian varieties. Transl. from the French by Philippe Mazaud. (English) Zbl 1078.14061 SMF/AMS Texts and Monographs 11. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3165-8/pbk). ix, 109 p. (2005). Reviewer: Werner Kleinert (Berlin) MSC: 14K20 14-01 14H52 14-02 32G13 58A10 PDFBibTeX XMLCite \textit{O. Debarre}, Complex tori and Abelian varieties. Transl. from the French by Philippe Mazaud. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1078.14061)
Diamond, Fred; Shurman, Jerry A first course in modular forms. (English) Zbl 1062.11022 Graduate Texts in Mathematics 228. Berlin: Springer (ISBN 0-387-23229-X/hbk). xv, 436 p. (2005). Reviewer: Werner Kleinert (Berlin) MSC: 11F11 11-01 11F25 11F80 11G18 11G40 11D41 PDFBibTeX XMLCite \textit{F. Diamond} and \textit{J. Shurman}, A first course in modular forms. Berlin: Springer (2005; Zbl 1062.11022) Backlinks: MO
Brown, M. L. Heegner modules and elliptic curves. (English) Zbl 1146.11029 Lecture Notes in Mathematics 1849. Berlin: Springer (ISBN 3-540-22290-1/pbk). x, 517 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 11F52 11G05 11-02 11G09 11G40 11R58 14J27 PDFBibTeX XMLCite \textit{M. L. Brown}, Heegner modules and elliptic curves. Berlin: Springer (2004; Zbl 1146.11029) Full Text: DOI
Alsina, Montserrat; Bayer, Pilar Quaternion orders, quadratic forms, and Shimura curves. (English) Zbl 1073.11040 CRM Monograph Series 22. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3359-6/hbk). xvi, 196 p. (2004). Reviewer: Rainer Schulze-Pillot (Saarbrücken) MSC: 11G18 11-02 11R52 11F06 11E20 14G35 30F35 PDFBibTeX XMLCite \textit{M. Alsina} and \textit{P. Bayer}, Quaternion orders, quadratic forms, and Shimura curves. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1073.11040) Full Text: DOI
Mozzochi, C. J. The Fermat proof. (English) Zbl 1104.11001 Victoria: Trafford Publishing (ISBN 1-4120-2203-7/pbk). ix, 50 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11G05 11F80 11D41 00A06 11F12 PDFBibTeX XMLCite \textit{C. J. Mozzochi}, The Fermat proof. Victoria: Trafford Publishing (2004; Zbl 1104.11001)
Darmon, Henri Rational points on modular elliptic curves. (English) Zbl 1057.11034 CBMS Regional Conference Series in Mathematics 101. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2868-1/pbk). xii, 129 p. (2004). Reviewer: Gerard van der Geer (Amsterdam) MSC: 11G40 11-02 11F67 11F85 11G18 11R37 PDFBibTeX XMLCite \textit{H. Darmon}, Rational points on modular elliptic curves. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1057.11034)
Husemöller, Dale [Forster, Otto; Lawrence, Ruth; Theisen, Stefan] Elliptic curves. With appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen. 2nd ed. (English) Zbl 1040.11043 Graduate Texts in Mathematics 111. New York, NY: Springer (ISBN 0-387-95490-2/hbk). xxi, 487 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 11G05 11-01 14H52 14-01 14G05 14H45 14G25 11G40 11-02 14J32 58J26 14-02 PDFBibTeX XMLCite \textit{D. Husemöller}, Elliptic curves. With appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen. 2nd ed. New York, NY: Springer (2004; Zbl 1040.11043) Full Text: DOI
Barth, Wolf P.; Hulek, Klaus; Peters, Chris A. M.; Van de Ven, Antonius Compact complex surfaces. 2nd enlarged ed. (English) Zbl 1036.14016 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 4. Berlin: Springer (ISBN 3-540-00832-2/hbk). xii, 436 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 14J15 14-02 32-02 32J15 32J25 14C22 14H10 32G13 14J28 14J80 14J32 PDFBibTeX XMLCite \textit{W. P. Barth} et al., Compact complex surfaces. 2nd enlarged ed. Berlin: Springer (2004; Zbl 1036.14016) Backlinks: MO MO MO
Hellegouarch, Yves Invitation to the mathematics of Fermat-Wiles. Transl. from the French by Leila Schneps. (English) Zbl 1036.11001 San Diego, CA: Academic Press (ISBN 0-12-339251-9/hbk). xi, 381 p. (2002). Reviewer: Werner Kleinert (Berlin) MSC: 11-02 11D41 11G05 11F11 14G35 PDFBibTeX XMLCite \textit{Y. Hellegouarch}, Invitation to the mathematics of Fermat-Wiles. Transl. from the French by Leila Schneps. San Diego, CA: Academic Press (2002; Zbl 1036.11001)
Farkas, Hershel M.; Kra, Irwin Theta constants, Riemann surfaces and the modular group. An introduction with applications to uniformization theorems, partition identities and combinatorial number theory. (English) Zbl 0982.30001 Graduate Studies in Mathematics. 37. Providence, RI: American Mathematical Society (AMS). xxiv, 531 p. (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 30-02 11-02 14-02 30F35 30F30 11F20 11F25 11F30 11P81 11P82 11P83 14H42 14H45 14H55 20H10 PDFBibTeX XMLCite \textit{H. M. Farkas} and \textit{I. Kra}, Theta constants, Riemann surfaces and the modular group. An introduction with applications to uniformization theorems, partition identities and combinatorial number theory. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0982.30001)
Levy, Silvio (ed.) The eightfold way. The beauty of Klein’s quartic curve. (English) Zbl 0991.00005 Mathematical Sciences Research Institute Publications. 35. Cambridge: Cambridge University Press. x, 331 p. (2001). Reviewer: Werner Kleinert (Berlin) MSC: 00B10 14-06 11-06 30-06 PDFBibTeX XMLCite \textit{S. Levy} (ed.), The eightfold way. The beauty of Klein's quartic curve. Cambridge: Cambridge University Press (2001; Zbl 0991.00005) Full Text: Link
Bakalov, B.; Kirillov, A. jun. Lectures on tensor categories and modular functors. (English) Zbl 0965.18002 University Lecture Series. 21. Providence, RI: American Mathematical Society (AMS). x, 221 p. (2001). Reviewer: Werner Kleinert (Berlin) MSC: 18-02 57-02 81-02 18D10 81T40 57R56 81T45 57M27 81R10 81R50 17B67 17B37 PDFBibTeX XMLCite \textit{B. Bakalov} and \textit{A. Kirillov jun.}, Lectures on tensor categories and modular functors. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0965.18002)
Hellegouarch, Yves Invitation to the mathematics of Fermat-Wiles. 2ème éd. révisée. (Invitation aux mathématiques de Fermat-Wiles.) (French) Zbl 1030.11001 Enseignement des Mathématiques (Masson). Paris: Masson. 384 p. (2000). MSC: 11-02 11D41 11G05 11F11 11F80 11G18 PDFBibTeX XMLCite \textit{Y. Hellegouarch}, Invitation aux mathématiques de Fermat-Wiles. 2ème éd. révisée. Paris: Masson (2000; Zbl 1030.11001)
Hida, Haruzo Geometric modular forms and elliptic curves. (English) Zbl 0960.11032 Singapore: World Scientific. x, 361 p. (2000). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11G05 11-02 11F85 11F11 14G20 14-02 PDFBibTeX XMLCite \textit{H. Hida}, Geometric modular forms and elliptic curves. Singapore: World Scientific (2000; Zbl 0960.11032)
Cornell, Gary (ed.); Silverman, Joseph H. (ed.); Stevens, Glenn (ed.) Modular forms and Fermat’s last theorem. Papers from a conference, Boston, MA, USA, August 9–18, 1995. Paperback ed. (English) Zbl 1051.11500 New York, NY: Springer (ISBN 0-387-98998-6/pbk). xix, 582 p. (2000). MSC: 11-02 00B25 11-06 11F11 11G05 11D41 PDFBibTeX XMLCite \textit{G. Cornell} (ed.) et al., Modular forms and Fermat's last theorem. Papers from a conference, Boston, MA, USA, August 9--18, 1995. Paperback ed. New York, NY: Springer (2000; Zbl 1051.11500)
Kühn, Ulfhart On the arithmetical self intersection number for modular curves and Hilbert modular surfaces. (Über die arithmetischen Selbstschnittzahlen zu Modulkurven und Hilbertschen Modulflächen.) (German) Zbl 0953.14014 Berlin: Humboldt-Univ. Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 80 S. (1999). MSC: 14G40 11G18 14C17 14G35 PDFBibTeX XMLCite \textit{U. Kühn}, Über die arithmetischen Selbstschnittzahlen zu Modulkurven und Hilbertschen Modulflächen. Berlin: Humboldt-Univ. Berlin, Mathematisch-Naturwissenschaftliche Fakultät II (1999; Zbl 0953.14014)
Debarre, Olivier Tori and complex abelian varieties. (Tores et variétés abéliennes complexes.) (French) Zbl 0964.14037 Cours Spécialisés (Paris). 6. Les Ulis: EDP Sciences. Paris: Société Mathématique de France, vi, 125 p. (1999). Reviewer: Werner Kleinert (Berlin) MSC: 14K20 14-01 14H52 14-02 58A12 32C18 32G13 55N10 55N30 55Q52 58A10 PDFBibTeX XMLCite \textit{O. Debarre}, Tores et variétés abéliennes complexes. Les Ulis: EDP Sciences; Paris: Société Mathématique de France (1999; Zbl 0964.14037)
McKean, Henry; Moll, Victor Elliptic curves. Function theory, geometry, arithmetic. Paperback ed. with corrections. (English) Zbl 0967.11002 Cambridge: Cambridge University Press. xiii, 280 p. (1999). MSC: 11-02 11G05 14H52 33E05 11-01 14-01 11R11 11R29 12E12 11F46 11F06 14-02 PDFBibTeX XMLCite \textit{H. McKean} and \textit{V. Moll}, Elliptic curves. Function theory, geometry, arithmetic. Paperback ed. with corrections. Cambridge: Cambridge University Press (1999; Zbl 0967.11002)
Koecher, Max; Krieg, Aloys Elliptic functions and modular forms. (Elliptische Funktionen und Modulformen.) (German) Zbl 0895.11001 Berlin: Springer. xi, 289 S. (1998). Reviewer: W.Kleinert (Berlin) MSC: 11-01 11F11 33E05 14H52 11F25 11G15 11F27 11F66 11G05 PDFBibTeX XMLCite \textit{M. Koecher} and \textit{A. Krieg}, Elliptische Funktionen und Modulformen. Berlin: Springer (1998; Zbl 0895.11001)
Shimura, Goro Abelian varieties with complex multiplication and modular functions. (English) Zbl 0908.11023 Princeton Mathematical Series. 46. Princeton, NJ: Princeton University Press. ix, 217 p. (1998). Reviewer: W.Kleinert (Berlin) MSC: 11Fxx 11-02 14-02 14K10 14K20 14K22 14K25 14G10 14G15 PDFBibTeX XMLCite \textit{G. Shimura}, Abelian varieties with complex multiplication and modular functions. Princeton, NJ: Princeton University Press (1998; Zbl 0908.11023)
Coates, John (ed.); Yau, S. T. (ed.) Elliptic curves, modular forms & Fermat’s last theorem. Proceedings of the conference on elliptic curves and modular forms, Chinese University of Hong Kong, China, December 18–21, 1993. 2nd ed. (English) Zbl 0997.11504 Cambridge, MA: International Press. i, 340 p. (1997). MSC: 11-06 00B25 14-06 PDFBibTeX XMLCite \textit{J. Coates} (ed.) and \textit{S. T. Yau} (ed.), Elliptic curves, modular forms \& Fermat's last theorem. Proceedings of the conference on elliptic curves and modular forms, Chinese University of Hong Kong, China, December 18--21, 1993. 2nd ed. Cambridge, MA: International Press (1997; Zbl 0997.11504)
Plegge, Carsten Equations for modular curves. (Gleichungen für Modulkurven.) (German) Zbl 0928.14020 Bayreuth: Univ. Bayreuth, 89 S. (1997). Reviewer: Lucien Bădescu (Bucureşti) MSC: 14H10 14G35 PDFBibTeX XMLCite \textit{C. Plegge}, Gleichungen für Modulkurven. Bayreuth: Univ. Bayreuth (1997; Zbl 0928.14020)
Mazur, Barry (ed.); Rubin, Karl (ed.) Papers from the colloquium of the National Academy of Sciences on elliptic curves and modular forms, Washington, DC, USA, March 15–17, 1996. (English) Zbl 0882.00034 Proc. Natl. Acad. Sci. USA 94, No. 21, 11109-11751 (1997). MSC: 00B25 14H52 PDFBibTeX XML Full Text: Link
Cornell, Gary (ed.); Silverman, Joseph H. (ed.); Stevens, Glenn (ed.) Modular forms and Fermat’s last theorem. Papers from a conference, Boston, MA, USA, August 9–18, 1995. (English) Zbl 0878.11004 New York, NY: Springer. xviii, 582 p. (1997). MSC: 11-06 00B25 11D41 11G18 11F11 14Hxx PDFBibTeX XMLCite \textit{G. Cornell} (ed.) et al., Modular forms and Fermat's last theorem. Papers from a conference, Boston, MA, USA, August 9--18, 1995. New York, NY: Springer (1997; Zbl 0878.11004)
McKean, Henry; Moll, Victor Elliptic curves. Function theory, geometry, arithmetic. (English) Zbl 0895.11002 Cambridge: Cambridge University Press. xiii, 280 p. (1997). Reviewer: Werner Kleinert (Berlin) MSC: 11-02 11G05 14H52 33E05 11-01 14-01 11R11 11R29 12E12 11F46 11F06 14-02 PDFBibTeX XMLCite \textit{H. McKean} and \textit{V. Moll}, Elliptic curves. Function theory, geometry, arithmetic. Cambridge: Cambridge University Press (1997; Zbl 0895.11002)
Iwaniec, Henryk Topics in classical automorphic forms. (English) Zbl 0905.11023 Graduate Studies in Mathematics. 17. Providence, RI: American Mathematical Society (AMS). xii, 259 p. (1997). Reviewer: J.Elstrodt (Münster) MSC: 11Fxx 11-01 11-02 33E05 11E25 11E45 11F03 11F11 11F12 11F27 11F30 11F66 11F25 11F72 11G05 PDFBibTeX XMLCite \textit{H. Iwaniec}, Topics in classical automorphic forms. Providence, RI: American Mathematical Society (1997; Zbl 0905.11023)
Hellegouarch, Yves Invitation to the mathematics of Fermat-Wiles. (Invitation aux mathématiques de Fermat-Wiles.) (French) Zbl 0887.11003 Enseignement des Mathématiques. Paris: Masson. vii, 397 p. (1997). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-02 11D41 11F11 11G05 11G18 PDFBibTeX XMLCite \textit{Y. Hellegouarch}, Invitation aux mathématiques de Fermat-Wiles. Paris: Masson (1997; Zbl 0887.11003)
Cremona, J. E. Algorithms for modular elliptic curves. (English) Zbl 0872.14041 Cambridge: Cambridge University Press. 376 p. £45.00; $ 69.95 (1997). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14Q05 14H52 11G40 11G05 11Y16 11Y35 68W30 14-02 11-02 PDFBibTeX XMLCite \textit{J. E. Cremona}, Algorithms for modular elliptic curves. Cambridge: Cambridge University Press (1997; Zbl 0872.14041)
van der Poorten, Alfred J. Notes on Fermat’s last theorem. (English) Zbl 0882.11001 Canadian Mathematical Society Series of Monographs and Advanced Texts. New York, NY: Wiley. xvi, 222 p. (1996). Reviewer: A.Granville (Athens/Georgia) MSC: 11-02 11D41 11-03 11G05 11F03 11G20 PDFBibTeX XMLCite \textit{A. J. van der Poorten}, Notes on Fermat's last theorem. New York, NY: Wiley (1996; Zbl 0882.11001)
Aczel, Amir D. Fermat’s Last Theorem: unlocking the secret of an ancient mathematical problem. (English) Zbl 0878.11003 New York, NY: Four Walls Eight Windows. xi, 147 p. (1996). Reviewer: K.-B.Gundlach (Marburg) MSC: 11-03 11-02 01A50 01A55 01A60 01A17 01A20 11D41 11G05 11F11 PDFBibTeX XMLCite \textit{A. D. Aczel}, Fermat's Last Theorem: unlocking the secret of an ancient mathematical problem. New York, NY: Four Walls Eight Windows (1996; Zbl 0878.11003)
Mazur, Barry Fermat’s last theorem. A lecture presented in Vancouver, British Columbia, Canada, August 1993. Videotape (NTSC). (English) Zbl 0974.11500 Selected Lectures in Mathematics. Providence, RI: American Mathematical Society (AMS). Video (VHS/NTSC 60 min.) (1995). Reviewer: Henri Darmon (MR 97h:11031) MSC: 11D41 11G05 11G18 PDFBibTeX XMLCite \textit{B. Mazur}, Fermat's last theorem. A lecture presented in Vancouver, British Columbia, Canada, August 1993. Videotape (NTSC). Providence, RI: AMS, American Mathematical Society (1995; Zbl 0974.11500)
Li, Winnie W. C. Number theory with applications. (English) Zbl 0849.11006 Series on University Mathematics. 7. Singapore: World Scientific. x, 229 p. (1995). Reviewer: A.A.Terras (La Jolla) MSC: 11-02 11F03 05C99 11R58 11G20 11F70 11F11 11L07 11T23 11R56 22E55 14G10 PDFBibTeX XMLCite \textit{W. W. C. Li}, Number theory with applications. Singapore: World Scientific (1995; Zbl 0849.11006)
Holzapfel, Rolf-Peter The ball and some Hilbert problems. (English) Zbl 0905.14013 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vi, 160 p. (1995). Reviewer: Lucien Bădescu (Bucureşti) MSC: 14G35 14-02 11F46 14K05 PDFBibTeX XMLCite \textit{R.-P. Holzapfel}, The ball and some Hilbert problems. Basel: Birkhäuser (1995; Zbl 0905.14013)
Coates, John (ed.); Yau, S. T. (ed.) Elliptic curves, modular forms, & Fermat’s last theorem. Proceedings ot the conference on elliptic curves and modular forms held at the Chinese University of Hong Kong, December 18-21, 1993. (English) Zbl 0824.00025 Series in Number Theory. 1. Cambridge, MA: International Press. 191 p. (1995). MSC: 00B25 11-06 14-06 PDFBibTeX XMLCite \textit{J. Coates} (ed.) and \textit{S. T. Yau} (ed.), Elliptic curves, modular forms, \& Fermat's last theorem. Proceedings ot the conference on elliptic curves and modular forms held at the Chinese University of Hong Kong, December 18-21, 1993. Cambridge, MA: International Press (1995; Zbl 0824.00025)
Grothendieck, Alexandre Malgoire, Jean (ed.) The long march through Galois theory. Vol. 1. Transcription of an unpublished manuscript. Edited and with a foreword by Jean Malgoire. (La longue marche à travers la théorie de Galois. Tome 1. Transcription d’un manuscrit inédit.) (French) Zbl 0960.14011 Montpellier: Université Montpellier II, Départment des Sciences Mathématiques, v, 253 p. (1995). Reviewer: Werner Kleinert (Berlin) MSC: 14G32 14Hxx 14-02 18B25 11S25 PDFBibTeX XMLCite \textit{A. Grothendieck} and \textit{J. Malgoire} (ed.), La longue marche à travers la théorie de Galois. Tome 1. Transcription d'un manuscrit inédit. Montpellier: Université Montpellier II, Départment des Sciences Mathématiques (1995; Zbl 0960.14011)
Shimura, Goro Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. (English) Zbl 0872.11023 Publications of the Mathematical Society of Japan 11. Kanô Memorial Lectures 1. Princeton, NJ: Princeton Univ. Press (ISBN 0-691-08092-5). xiv, 271 p. (1994). MSC: 11Fxx 11-02 14H52 14G10 11G15 11F11 11F32 11F12 11F66 11F06 11F75 PDFBibTeX XMLCite \textit{G. Shimura}, Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. Princeton, NJ: Princeton Univ. Press (1994; Zbl 0872.11023)
Hayashi, Yoshiki Rankin’s \(L\)-function and Heegner points for general discriminants. (Die Rankinschen \(L\)-Funktion und Heegner-Punkte für allgemeine Diskriminanten.) (German) Zbl 0836.11018 Bonner Mathematische Schriften. 259. Bonn: Univ. Bonn, 157 S. (1994). MSC: 11F67 11G40 14H25 11F66 14G25 PDFBibTeX XMLCite \textit{Y. Hayashi}, Die Rankinschen \(L\)-Funktion und Heegner-Punkte für allgemeine Diskriminanten. Bonn: Univ. Bonn (1994; Zbl 0836.11018)
Silverman, Joseph H. Advanced topics in the arithmetic of elliptic curves. (English) Zbl 0911.14015 Graduate Texts in Mathematics. 151. New York, NY: Springer-Verlag. xiii, 525 p. (1994). Reviewer: H.Kurke (Berlin) MSC: 14H52 14G40 11-02 11Gxx 14-02 11G07 11G05 14G10 PDFBibTeX XMLCite \textit{J. H. Silverman}, Advanced topics in the arithmetic of elliptic curves. New York, NY: Springer-Verlag (1994; Zbl 0911.14015)
Ribet, Kenneth A. Modular elliptic curves and Fermat’s Last Theorem. Videotape (NTSC). (English) Zbl 0804.11002 Selected Lectures in Mathematics. Providence, RI: American Mathematical Society (AMS). (1993). MSC: 11-01 11G05 11D41 14H52 PDFBibTeX XML
Murty, V. Kumar Introduction to abelian varieties. (English) Zbl 0779.14013 CRM Monograph Series. 3. Providence, RI: American Mathematical Society (AMS). xiii, 112 p. (1993). Reviewer: W.Kleinert (Berlin) MSC: 14K20 14K25 14-01 14-02 14H40 11G10 14G40 PDFBibTeX XMLCite \textit{V. K. Murty}, Introduction to abelian varieties. Providence, RI: American Mathematical Society (1993; Zbl 0779.14013) Full Text: DOI
Koblitz, Neal Introduction to elliptic curves and modular forms. 2. ed. (English) Zbl 0804.11039 Graduate Texts in Mathematics. 97. New York: Springer-Verlag. x, 248 p. (1993). Reviewer: W.Kohnen (Bonn) MSC: 11G05 14H52 11Fxx 11-02 14-02 PDFBibTeX XMLCite \textit{N. Koblitz}, Introduction to elliptic curves and modular forms. 2. ed. New York: Springer-Verlag (1993; Zbl 0804.11039)
Tashpulatov, B. T.; Kogan, L. A. Representation of numbers by quadratic forms. (Predstavlenie chisel kvadratichnymi formami.) (Russian) Zbl 0922.11033 Tashkent: Fan. 112 p. (1993). Reviewer: V.V.Karachik (Tashkent) MSC: 11E25 11-02 11F27 11E12 14K25 33E05 PDFBibTeX XMLCite \textit{B. T. Tashpulatov} and \textit{L. A. Kogan}, Predstavlenie chisel kvadratichnymi formami (Russian). Tashkent: Fan (1993; Zbl 0922.11033)
Cremona, J. E. Algorithms for modular elliptic curves. (English) Zbl 0758.14042 Cambridge: Cambridge University Press. 343 p. (1992). Reviewer: Gerhard Pfister (Berlin) MSC: 14Q05 14H52 11G40 11G05 11Y16 11Y35 68W30 14-02 11-02 PDFBibTeX XMLCite \textit{J. E. Cremona}, Algorithms for modular elliptic curves. Cambridge: Cambridge University Press (1992; Zbl 0758.14042)
Knapp, Anthony W. Elliptic curves. (English) Zbl 0804.14013 Mathematical Notes (Princeton). 40. Princeton, NJ: Princeton University Press. xv, 427 p. (1992). Reviewer: H.Kurke (Berlin) MSC: 14H52 14-02 11-02 14G10 11F66 11G40 11D41 11G05 14G05 PDFBibTeX XMLCite \textit{A. W. Knapp}, Elliptic curves. Princeton, NJ: Princeton University Press (1992; Zbl 0804.14013)
Brinkmann, Christoph The Anderson extension and 1- motives. (Die Andersonextension und 1-Motive.) (German) Zbl 0749.14001 Bonner Mathematische Schriften. 223. Bonn: Univ. Bonn, Math.-Naturwiss. Fak. 153 S. (1991). Reviewer: W.W.J.Hulsbergen (Breda) MSC: 14A20 14H10 14H40 14C35 PDFBibTeX XMLCite \textit{C. Brinkmann}, Die Andersonextension und 1-Motive. Bonn: Univ. Bonn, Math.-Naturwiss. Fak. (1991; Zbl 0749.14001)
Vidav, Ivan Elliptic curves and elliptic functions. (Eliptične krivulje in eliptične funkcije.) (Slovenian) Zbl 0781.33009 Matematika-Fizika, Zbirka Univerzitetnih Učbenikov in Monografij. 32. Ljubljana: Društvo Matematikov, Fizikov in Astronomov Slovenije, 176 p. (1991). Reviewer: V.Z.Enol’skij (Kiev) MSC: 33E05 14H52 14-01 33-01 11G07 PDFBibTeX XMLCite \textit{I. Vidav}, Eliptične krivulje in eliptične funkcije (Slovenian). Ljubljana: Društvo Matematikov, Fizikov in Astronomov Slovenije (1991; Zbl 0781.33009)