Balakrishnan, Jennifer S.; Dogra, Netan Quadratic Chabauty and rational points. I: \(p\)-adic heights. (English) Zbl 1401.14123 Duke Math. J. 167, No. 11, 1981-2038 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 14G05 11G50 14G40 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} and \textit{N. Dogra}, Duke Math. J. 167, No. 11, 1981--2038 (2018; Zbl 1401.14123) Full Text: DOI
Bekker, B. M.; Zarhin, Yu. G. Division by 2 of rational points on elliptic curves. (English. Russian original) Zbl 1393.14030 St. Petersbg. Math. J. 29, No. 4, 683-713 (2018); translation from Algebra Anal. 29, No. 4, 196-239 (2017). Reviewer: Andrea Bandini (Parma) MSC: 14H52 PDF BibTeX XML Cite \textit{B. M. Bekker} and \textit{Yu. G. Zarhin}, St. Petersbg. Math. J. 29, No. 4, 683--713 (2018; Zbl 1393.14030); translation from Algebra Anal. 29, No. 4, 196--239 (2017) Full Text: DOI
Cullinan, John Real preimages of duplication on elliptic curves. (English) Zbl 1411.11046 Missouri J. Math. Sci. 29, No. 1, 19-26 (2017). MSC: 11G05 PDF BibTeX XML Cite \textit{J. Cullinan}, Missouri J. Math. Sci. 29, No. 1, 19--26 (2017; Zbl 1411.11046) Full Text: Euclid
Salehyan, Parham Introduction to elliptic curves and applications. Paper from the 30th Brazilian mathematics colloquium – 30\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 26–31, 2015. (Introdução às curvas elípticas e aplicações.) (Portuguese) Zbl 1364.11002 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0408-5/pbk). 61 p., open access (2015). Reviewer: Guilherme Tizziotti (Uberlândia) MSC: 11-02 11G05 14H52 14G15 11Y11 PDF BibTeX XML Cite \textit{P. Salehyan}, Introdução às curvas elípticas e aplicações (Portuguese). Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2015; Zbl 1364.11002) Full Text: Link
Silverman, Joseph H.; Tate, John T. Rational points on elliptic curves. 2nd ed. (English) Zbl 1346.11001 Undergraduate Texts in Mathematics. Cham: Springer (ISBN 978-3-319-18587-3/hbk; 978-3-319-18588-0/ebook). xxii, 332 p. (2015). Reviewer: Andrej Dujella (Zagreb) MSC: 11-01 11G05 14G05 14H52 PDF BibTeX XML Cite \textit{J. H. Silverman} and \textit{J. T. Tate}, Rational points on elliptic curves. 2nd ed. Cham: Springer (2015; Zbl 1346.11001) Full Text: DOI
Andreescu, Titu; Andrica, Dorin Quadratic Diophantine equations. With a foreword by Preda Mihăilescu. (English) Zbl 1376.11001 Developments in Mathematics 40. New York, NY: Springer (ISBN 978-0-387-35156-8/hbk; 978-0-387-54109-9/ebook). xviii, 211 p. (2015). Reviewer: Mowaffaq Hajja (Amman) MSC: 11-02 11D09 11J70 PDF BibTeX XML Cite \textit{T. Andreescu} and \textit{D. Andrica}, Quadratic Diophantine equations. With a foreword by Preda Mihăilescu. New York, NY: Springer (2015; Zbl 1376.11001) Full Text: DOI
Pacheco, Amílcar Rational points of Jacobian varieties in pro-\(\ell\) towers of function fields. (English) Zbl 1297.11059 J. Number Theory 133, No. 10, 3517-3523 (2013). MSC: 11G10 14G25 14H40 PDF BibTeX XML Cite \textit{A. Pacheco}, J. Number Theory 133, No. 10, 3517--3523 (2013; Zbl 1297.11059) Full Text: DOI
Hall, Chris; Perucca, Antonella Characterizing abelian varieties by the reduction of the Mordell-Weil group. (English) Zbl 1288.11059 Pac. J. Math. 265, No. 2, 427-440 (2013). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11G10 PDF BibTeX XML Cite \textit{C. Hall} and \textit{A. Perucca}, Pac. J. Math. 265, No. 2, 427--440 (2013; Zbl 1288.11059) Full Text: DOI arXiv
Baker, Matthew A finiteness theorem for canonical heights attached to rational maps over function fields. (English) Zbl 1187.37133 J. Reine Angew. Math. 626, 205-233 (2009). Reviewer: Paul Vojta (Berkeley) MSC: 37P05 37P15 37P30 14H52 14H05 14G40 PDF BibTeX XML Cite \textit{M. Baker}, J. Reine Angew. Math. 626, 205--233 (2009; Zbl 1187.37133) Full Text: DOI arXiv
Washington, Lawrence C. Elliptic curves. Number theory and cryptography. 2nd ed. (English) Zbl 1200.11043 Boca Raton, FL: Chapman and Hall/CRC (ISBN 978-1-4200-7146-7/hbk). xviii, 513 p. (2008). MSC: 11G20 11G05 11-01 14G50 94A60 11T71 11G50 14G10 PDF BibTeX XML Cite \textit{L. C. Washington}, Elliptic curves. Number theory and cryptography. 2nd ed. Boca Raton, FL: Chapman and Hall/CRC (2008; Zbl 1200.11043)
Hindry, Marc Why is it difficult to compute the Mordell-Weil group. (English) Zbl 1219.11099 Zannier, Umberto (ed.), Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12–July 22, 2005. Pisa: Edizioni della Normale (ISBN 978-88-7642-206-5/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 4, 197-219 (2007). Reviewer: Alexey Zykin (Moskva) MSC: 11G40 11G05 11G10 11G50 PDF BibTeX XML Cite \textit{M. Hindry}, in: Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12--July 22, 2005. Pisa: Edizioni della Normale. 197--219 (2007; Zbl 1219.11099) Full Text: Link
Ghioca, Dragos The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules. (English) Zbl 1125.11033 J. Number Theory 122, No. 1, 37-68 (2007). Reviewer: Lenny Taelman (Leiden) MSC: 11G09 PDF BibTeX XML Cite \textit{D. Ghioca}, J. Number Theory 122, No. 1, 37--68 (2007; Zbl 1125.11033) Full Text: DOI arXiv
Akhtar, Reza Cycles on curves over global fields of positive characteristic. (English) Zbl 1069.14005 Trans. Am. Math. Soc. 357, No. 7, 2557-2569 (2005). MSC: 14C15 14C25 14H25 14C35 14G25 PDF BibTeX XML Cite \textit{R. Akhtar}, Trans. Am. Math. Soc. 357, No. 7, 2557--2569 (2005; Zbl 1069.14005) Full Text: DOI
Farhi, Bakir A polynomial approach to Faltings’s theorem. (Une approche polynomiale du théorème de Faltings.) (French) Zbl 1076.11041 C. R., Math., Acad. Sci. Paris 340, No. 2, 103-106 (2005). Reviewer: Patrice Philippon (Paris) MSC: 11G30 14H25 11D45 PDF BibTeX XML Cite \textit{B. Farhi}, C. R., Math., Acad. Sci. Paris 340, No. 2, 103--106 (2005; Zbl 1076.11041) Full Text: DOI
Nagaraj, D. S.; Sury, B. The Mordell-Weil theorem. (English) Zbl 1048.11046 Bhandari, A. K. (ed.) et al., Elliptic curves, modular forms and cryptography. Proceedings of the advanced instructional workshop on algebraic number theory, Allahabad, India, November 2000. New Delhi, IN: Hindustan Book Agency (ISBN 81-85931-42-9/hbk). 73-84 (2003). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11G05 14G05 PDF BibTeX XML Cite \textit{D. S. Nagaraj} and \textit{B. Sury}, in: Elliptic curves, modular forms and cryptography. Proceedings of the advanced instructional workshop on algebraic number theory, Allahabad, India, November 2000. New Delhi, IN: Hindustan Book Agency. 73--84 (2003; Zbl 1048.11046)
Rajan, C. S. Weak Mordell-Weil theorem. (English) Zbl 1058.11035 Bhandari, A. K. (ed.) et al., Elliptic curves, modular forms and cryptography. Proceedings of the advanced instructional workshop on algebraic number theory, Allahabad, India, November 2000. New Delhi, IN: Hindustan Book Agency (ISBN 81-85931-42-9/hbk). 63-72 (2003). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11G05 14G05 11R34 PDF BibTeX XML Cite \textit{C. S. Rajan}, in: Elliptic curves, modular forms and cryptography. Proceedings of the advanced instructional workshop on algebraic number theory, Allahabad, India, November 2000. New Delhi, IN: Hindustan Book Agency. 63--72 (2003; Zbl 1058.11035)
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 PDF BibTeX XML Cite \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)
Kuwata, Masato Elliptic \(K3\) surfaces with given Mordell-Weil rank. (English) Zbl 1018.14013 Comment. Math. Univ. St. Pauli 49, No. 1, 91-100 (2000). Reviewer: Paolo A.Oliverio (Rende) MSC: 14J28 14J27 14G05 PDF BibTeX XML Cite \textit{M. Kuwata}, Comment. Math. Univ. St. Pauli 49, No. 1, 91--100 (2000; Zbl 1018.14013)
Hindry, Marc; Silverman, Joseph H. Diophantine geometry. An introduction. (English) Zbl 0948.11023 Graduate Texts in Mathematics. 201. New York, NY: Springer. xiii, 558 p. (2000). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11Gxx 14-01 11-01 14Gxx 11G10 11J68 11G30 11G50 14G05 14G25 14G40 14K15 PDF BibTeX XML Cite \textit{M. Hindry} and \textit{J. H. Silverman}, Diophantine geometry. An introduction. New York, NY: Springer (2000; Zbl 0948.11023)
Elkies, Noam D. The Klein quartic in number theory. (English) Zbl 0991.11032 Levy, Silvio (ed.), The eightfold way. The beauty of Klein’s quartic curve. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 35, 51-101 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 11G30 11G18 11D41 PDF BibTeX XML Cite \textit{N. D. Elkies}, Math. Sci. Res. Inst. Publ. 35, 51--101 (1999; Zbl 0991.11032) Full Text: Link
Cremona, J. E.; Serf, P. Computing the rank of elliptic curves over real quadratic number fields of class number 1. (English) Zbl 0927.11034 Math. Comput. 68, No. 227, 1187-1200 (1999). Reviewer: A.Pethő (Debrecen) MSC: 11G05 11Y16 14H52 14G25 14Q05 11Y50 PDF BibTeX XML Cite \textit{J. E. Cremona} and \textit{P. Serf}, Math. Comput. 68, No. 227, 1187--1200 (1999; Zbl 0927.11034) Full Text: DOI
Smart, Nigel P. The algorithmic resolution of Diophantine equations. (English) Zbl 0907.11001 London Mathematical Society Student Texts. 41. Cambridge: Cambridge University Press. xvi, 243 p. (1998). Reviewer: István Gaál (Debrecen) MSC: 11-02 11Y50 11D25 11D57 11D75 11G05 14G05 11G30 11J86 PDF BibTeX XML Cite \textit{N. P. Smart}, The algorithmic resolution of Diophantine equations. Cambridge: Cambridge University Press (1998; Zbl 0907.11001)
Darmon, Henri Wiles’ theorem and the arithmetic of elliptic curves. (English) Zbl 0919.11043 Cornell, Gary (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. 549-569 (1997). Reviewer: A.Dabrowski (Szczecin) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{H. Darmon}, in: Modular forms and Fermat's last theorem. Papers from a conference, Boston, MA, USA, August 9--18, 1995. New York, NY: Springer. 549--569 (1997; Zbl 0919.11043)
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 PDF BibTeX XML Cite \textit{H. McKean} and \textit{V. Moll}, Elliptic curves. Function theory, geometry, arithmetic. Cambridge: Cambridge University Press (1997; Zbl 0895.11002)
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 PDF BibTeX XML Cite \textit{Y. Hellegouarch}, Invitation aux mathématiques de Fermat-Wiles. Paris: Masson (1997; Zbl 0887.11003)
Tzermias, Pavlos Torsion in Mordell-Weil groups of Fermat Jacobians. (English) Zbl 0889.11022 Compos. Math. 106, No. 1, 1-9 (1997). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G30 14H25 11D41 14G05 14H40 PDF BibTeX XML Cite \textit{P. Tzermias}, Compos. Math. 106, No. 1, 1--9 (1997; Zbl 0889.11022) Full Text: DOI
Flynn, E. V. A flexible method for applying Chabauty’s theorem. (English) Zbl 0882.14009 Compos. Math. 105, No. 1, 79-94 (1997). Reviewer: Robert F.Lax (Baton Rouge) MSC: 14H52 PDF BibTeX XML Cite \textit{E. V. Flynn}, Compos. Math. 105, No. 1, 79--94 (1997; Zbl 0882.14009) Full Text: DOI
Serre, Jean-Pierre Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. (English) Zbl 0863.14013 Aspects of Mathematics. E 15. Wiesbaden: Vieweg. x, 218 p. (1997). MSC: 14G05 14G40 14-02 14G25 14H25 11G05 11-02 14K15 11R29 PDF BibTeX XML Cite \textit{J.-P. Serre}, Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Wiesbaden: Vieweg (1997; Zbl 0863.14013)
Shioda, Tetsuji The algebraic equation of type \(E_ 6\) and Chebotarev density. (English) Zbl 0891.12004 Arslanov, M. M. (ed.) et al., Algebra and analysis. Proceedings of the international centennial Chebotarev conference, Kazan, Russia, June 5-11, 1994. Berlin: Walter de Gruyter. 109-114 (1996). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 12F10 12E12 14H52 PDF BibTeX XML Cite \textit{T. Shioda}, in: Algebra and analysis. Proceedings of the international centennial Chebotarev conference, Kazan, Russia, June 5-11, 1994. Berlin: Walter de Gruyter. 109--114 (1996; Zbl 0891.12004)
Rose, H. E. A course in number theory. 2nd ed. (English) Zbl 0835.11001 Oxford: Clarendon Press. xv, 398 p. (1995). Reviewer: O.Ninnemann (Berlin) MSC: 11-01 11Axx 11Dxx 11Exx 11Jxx 11Lxx 11N05 11Y05 11Y11 PDF BibTeX XML Cite \textit{H. E. Rose}, A course in number theory. 2nd ed. Oxford: Clarendon Press (1995; Zbl 0835.11001)
Poonen, Bjorn Local height functions and the Mordell-Weil theorem for Drinfeld modules. (English) Zbl 0839.11024 Compos. Math. 97, No. 3, 349-368 (1995). Reviewer: E.-U.Gekeler (Saarbrücken) MSC: 11G09 PDF BibTeX XML Cite \textit{B. Poonen}, Compos. Math. 97, No. 3, 349--368 (1995; Zbl 0839.11024) Full Text: Numdam EuDML
Rose, H. E. A course in number theory. 2nd ed. (English) Zbl 0818.11001 Oxford: Clarendon Press. xv, 398 p. (1994). Reviewer: E.Krätzel (Jena) MSC: 11-01 11Axx 11Dxx 11Exx 11Jxx 11Lxx 11N05 PDF BibTeX XML Cite \textit{H. E. Rose}, A course in number theory. 2nd ed. Oxford: Clarendon Press (1994; Zbl 0818.11001)
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 PDF BibTeX XML Cite \textit{J. H. Silverman}, Advanced topics in the arithmetic of elliptic curves. New York, NY: Springer-Verlag (1994; Zbl 0911.14015)
McCallum, William G. On the method of Coleman and Chabauty. (English) Zbl 0824.14017 Math. Ann. 299, No. 3, 565-596 (1994). Reviewer: H.-G.Rück (Essen) MSC: 14G05 14H25 11D41 PDF BibTeX XML Cite \textit{W. G. McCallum}, Math. Ann. 299, No. 3, 565--596 (1994; Zbl 0824.14017) Full Text: DOI EuDML
Grant, David A curve for which Coleman’s effective Chabauty bound is sharp. (English) Zbl 0834.14015 Proc. Am. Math. Soc. 122, No. 1, 317-319 (1994). Reviewer: H.-G.Rück (Essen) MSC: 14H45 14G05 14H25 PDF BibTeX XML Cite \textit{D. Grant}, Proc. Am. Math. Soc. 122, No. 1, 317--319 (1994; Zbl 0834.14015) Full Text: DOI
Shioda, Tetsuji Generalization of a theorem of Manin-Shafarevich. (English) Zbl 0784.14013 Proc. Japan Acad., Ser. A 69, No. 1, 10-12 (1993). Reviewer: W.Kleinert (Berlin) MSC: 14H10 14H40 14C20 14J25 PDF BibTeX XML Cite \textit{T. Shioda}, Proc. Japan Acad., Ser. A 69, No. 1, 10--12 (1993; Zbl 0784.14013) Full Text: DOI
Silverman, Joseph H. Taxicabs and sums of two cubes. (English) Zbl 0796.11022 Am. Math. Mon. 100, No. 4, 331-340 (1993). Reviewer: A.Granville (Athens / Georgia) MSC: 11G05 11P05 PDF BibTeX XML Cite \textit{J. H. Silverman}, Am. Math. Mon. 100, No. 4, 331--340 (1993; Zbl 0796.11022) Full Text: DOI
Bombieri, Enrico; Granville, Andrew; Pintz, János Squares in arithmetic progressions. (English) Zbl 0771.11034 Duke Math. J. 66, No. 3, 369-385 (1992). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11N25 11B25 14G05 11N69 PDF BibTeX XML Cite \textit{E. Bombieri} et al., Duke Math. J. 66, No. 3, 369--385 (1992; Zbl 0771.11034) Full Text: DOI
Silverman, Joseph H.; Tate, John Rational points on elliptic curves. (English) Zbl 0752.14034 Undergraduate Texts in Mathematics. New York: Springer-Verlag. x, 281 p. (1992). Reviewer: Gerhard Pfister (Berlin) MSC: 11G05 11-01 14-01 11G15 11D25 14G05 14G15 14H52 PDF BibTeX XML Cite \textit{J. H. Silverman} and \textit{J. Tate}, Rational points on elliptic curves. New York: Springer-Verlag (1992; Zbl 0752.14034)
Ulmer, Douglas L. \(p\)-descent in characteristic \(p\). (English) Zbl 0742.14028 Duke Math. J. 62, No. 2, 237-265 (1991). Reviewer: D.Goss (Columbus) MSC: 14H52 14G05 11R58 14G15 14G10 14H25 PDF BibTeX XML Cite \textit{D. L. Ulmer}, Duke Math. J. 62, No. 2, 237--265 (1991; Zbl 0742.14028) Full Text: DOI
Kuwata, Masato The field of definition of the Mordell-Weil group of an elliptic curve over a function field. (English) Zbl 0731.14010 Compos. Math. 76, No. 3, 399-406 (1990). Reviewer: P.Bayer (Barcelona) MSC: 14G05 14H52 14G40 14A05 PDF BibTeX XML Cite \textit{M. Kuwata}, Compos. Math. 76, No. 3, 399--406 (1990; Zbl 0731.14010) Full Text: Numdam EuDML
Hindry, M. Lower bound of heights and diophantine analysis on elliptic curves. (Minoration de hauteurs et analyse diophantienne sur les courbes elliptiques.) (French) Zbl 0714.14023 Sémin. Théor. Nombres, Paris/Fr. 1987-88, Prog. Math. 81, 119-129 (1990). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 11G50 11G05 14G05 14G10 PDF BibTeX XML
Ireland, Kenneth; Rosen, Michael A classical introduction to modern number theory. 2nd ed. (English) Zbl 0712.11001 Graduate Texts in Mathematics, 84. New York etc.: Springer-Verlag. xiv, 389 p. DM 98.00 (1990). Reviewer: J.-H.Evertse MSC: 11-01 11Axx 11Gxx 11Nxx 11Rxx 11Txx 11Dxx 11G05 11G40 11D41 14H52 PDF BibTeX XML Cite \textit{K. Ireland} and \textit{M. Rosen}, A classical introduction to modern number theory. 2nd ed. New York etc.: Springer-Verlag (1990; Zbl 0712.11001)
Goldstein, Catherine Quoi de neuf sur la conjecture de Birch et Swinnerton-Dyer? (What news about the Birch and Swinnerton-Dyer conjecture?). (French) Zbl 0732.11031 Publ. Math. Fac. Sci. Besançon, Théor. Nombres 1988/89, No. 1, 15 p. (1989). Reviewer: K.Katayama (Tokyo) MSC: 11G40 14G10 PDF BibTeX XML
Serre, Jean-Pierre Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. (English) Zbl 0676.14005 Aspects of Mathematics, E 15. Braunschweig etc.: Friedr. Vieweg & Sohn. x, 218 p. DM 52.00 (1989). Reviewer: S.Kamienny MSC: 14G05 14H52 14H25 14-02 14G25 14H45 14K15 11R23 PDF BibTeX XML Cite \textit{J.-P. Serre}, Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Braunschweig etc.: Friedr. Vieweg \&| Sohn (1989; Zbl 0676.14005)
Rose, H. E. A course in number theory. (English) Zbl 0637.10002 Oxford Science Publications. Oxford (UK): Clarendon Press. xi, 354 p. £17.50 (pbk); £40.00 (hbk) (1988). Reviewer: E.Krätzel MSC: 11-01 11Axx 11Dxx 11Exx 11Jxx 11Lxx 11N05 PDF BibTeX XML Cite \textit{H. E. Rose}, A course in number theory. Oxford (UK): Clarendon Press (1988; Zbl 0637.10002)
Raskind, Wayne A finiteness theorem in the Galois cohomology of algebraic number fields. (English) Zbl 0648.12009 Trans. Am. Math. Soc. 303, 743-749 (1987). Reviewer: A.F.T.W.Rosenberg MSC: 11R34 14K15 14G25 14F20 PDF BibTeX XML Cite \textit{W. Raskind}, Trans. Am. Math. Soc. 303, 743--749 (1987; Zbl 0648.12009) Full Text: DOI
Silverman, Joseph H. The theory of height functions. (English) Zbl 0604.14022 Arithmetic geometry, Pap. Conf., Storrs/Conn. 1984, 151-166 (1986). Reviewer: L.Bădescu MSC: 14J20 14K15 14F05 14G05 PDF BibTeX XML
Cassels, J. W. S. Mordell’s finite basis theorem revisited. (English) Zbl 0601.14001 Math. Proc. Camb. Philos. Soc. 100, 31-41 (1986). Reviewer: J.Dieudonné MSC: 14-03 14G05 01A60 11D25 11D41 01A55 14H45 PDF BibTeX XML Cite \textit{J. W. S. Cassels}, Math. Proc. Camb. Philos. Soc. 100, 31--41 (1986; Zbl 0601.14001) Full Text: DOI
Silverman, Joseph H. The arithmetic of elliptic curves. (English) Zbl 0585.14026 Graduate Texts in Mathematics, 106. New York etc.: Springer-Verlag. XII, 400 p. DM 148.00 (1986). Reviewer: R. Gillard MSC: 11G05 11-01 11G07 11G20 11G40 14H45 14G05 14H25 14-01 14H52 11D25 PDF BibTeX XML
Barthel, Laure Elliptic curves and cusp forms of weight 3/2. (Courbes elliptiques et formes modulaires de poids 3/2.) (French) Zbl 0586.10016 Sémin. Théor. Nombres, Univ. Bordeaux I 1984-1985, Exp. No. 17, 11 p. (1985). Reviewer: S. Kamienny (Los Angeles) MSC: 11G05 11G40 11F37 11G15 PDF BibTeX XML Full Text: EuDML
Mumford, David Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. (English) Zbl 0583.14015 Studies in Mathematics. Tata Institute of Fundamental Research 5. Oxford: Oxford University Press. XII, 279 p. (1985). MSC: 14Kxx 14-02 14K15 14G05 14K05 14K20 PDF BibTeX XML Cite \textit{D. Mumford}, Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Oxford: Oxford University Press (1985; Zbl 0583.14015)
Coleman, Robert F. Torsion points on curves and p-adic abelian integrals. (English) Zbl 0578.14038 Ann. Math. (2) 121, 111-168 (1985). Reviewer: H.G.Zimmer MSC: 14K20 14G20 14K22 14G05 14H45 14H52 14H05 11S80 PDF BibTeX XML Cite \textit{R. F. Coleman}, Ann. Math. (2) 121, 111--168 (1985; Zbl 0578.14038) Full Text: DOI
Coates, John Elliptic curves and Iwasawa theory. (English) Zbl 0561.14012 Modular forms, Symp. Durham/Engl. 1983, 51-73 (1984). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11G05 11G40 11R23 11-02 14G10 PDF BibTeX XML
Lang, Serge Fundamentals of Diophantine geometry. (English) Zbl 0528.14013 New York etc.: Springer-Verlag. xviii, 370 p. DM 132.00; $ 51.30 (1983). Reviewer: Gerd Faltings (Wuppertal) MSC: 14Gxx 11Gxx 14K15 11D41 11-02 14-02 14G05 PDF BibTeX XML
Scriba, Christoph J. Zur Geschichte der Bestimmung rationaler Punkte auf elliptischen Kurven: das Problem von Behā-Eddīn ‘Amūlī. (German) Zbl 0545.14016 Ber. Sitz. Joachim Jungius-Ges. Wiss., Hamburg 1(1982/83), No. 6, 52 S. (1984). Reviewer: Jean Dieudonné (Paris) MSC: 14-03 01A40 14G05 14H45 14H52 PDF BibTeX XML
Silverman, Joseph H. Integer points and the rank of Thue elliptic curves. (English) Zbl 0494.14008 Invent. Math. 66, 395-404 (1982). Reviewer: D. Bertrand MSC: 11G05 11D25 11J68 14G05 14K15 PDF BibTeX XML Cite \textit{J. H. Silverman}, Invent. Math. 66, 395--404 (1982; Zbl 0494.14008) Full Text: DOI EuDML
Kani, Ernst Nonstandard diophantine geometry. (English) Zbl 0454.14010 Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 129-172 (1980). MSC: 14G05 12L15 03H15 11D99 14H25 PDF BibTeX XML
Cox, David A. Solutions of Weierstrass equations. (English) Zbl 0438.14019 Algebraic geometry, Proc. Summer Meet., Copenh. 1978, Lect. Notes Math. 732, 43-59 (1979). MSC: 14G05 14H25 30F10 14H45 PDF BibTeX XML
Harris, Michael \(p\)-adic representations arising from descent on Abelian varieties. (English) Zbl 0417.14034 Compos. Math. 39, 177-245 (1979); correction ibid. 121, No. 1, 105-108 (2000). Reviewer: G. Frey MSC: 14K15 11R23 11G10 14G05 14G10 11G40 11S40 11R34 22E55 PDF BibTeX XML Cite \textit{M. Harris}, Compos. Math. 39, 177--245 (1979; Zbl 0417.14034) Full Text: Numdam EuDML
Stroeker, Roelof J. Aspects of elliptic curves. An introduction. (English) Zbl 0415.14016 Nieuw Arch. Wiskd., III. Ser. 26, 371-412 (1978). MSC: 14H45 14-01 14H52 11D25 14G05 PDF BibTeX XML Cite \textit{R. J. Stroeker}, Nieuw Arch. Wiskd., III. Ser. 26, 371--412 (1978; Zbl 0415.14016)
Geyer, Wulf-Dieter; Jarden, Moshe Torsion points of elliptic curves over large algebraic extensions of finitely generated fields. (English) Zbl 0406.14025 Isr. J. Math. 31, 257-297 (1978). MSC: 14H52 14K15 14K22 14G05 14H45 11G15 PDF BibTeX XML Cite \textit{W.-D. Geyer} and \textit{M. Jarden}, Isr. J. Math. 31, 257--297 (1978; Zbl 0406.14025) Full Text: DOI
Lang, Serge Diophantine geometry. (English) Zbl 0115.38701 Interscience Tracts in Pure and Applied Mathematics. 11. New York and London: Interscience Publishers, a division of John Wiley and Sons. x, 170 pp. (1962). Reviewer: J. W. S. Cassels MSC: 11Gxx 14Gxx 11-02 14-02 11G10 11G50 14G40 14K15 11D41 14G05 12E25 PDF BibTeX XML