Ito, Kazuhiro On the arithmetic of K3 surfaces with complex multiplication and its applications. (Japanese. English summary) Zbl 07311537 RIMS Kôkyûroku Bessatsu B83, 11-26 (2020). MSC: 14J28 14G10 14G15 14K22 PDF BibTeX XML Cite \textit{K. Ito}, RIMS Kôkyûroku Bessatsu B83, 11--26 (2020; Zbl 07311537) Full Text: Link
Huang, Hau-Wen Ihara zeta function, coefficients of Maclaurin series and Ramanujan graphs. (English) Zbl 1451.05139 Int. J. Math. 31, No. 10, Article ID 2050082, 10 p. (2020). MSC: 05C50 11M26 11M41 PDF BibTeX XML Cite \textit{H.-W. Huang}, Int. J. Math. 31, No. 10, Article ID 2050082, 10 p. (2020; Zbl 1451.05139) Full Text: DOI
Griffon, Richard; Ulmer, Douglas On the arithmetic of a family of twisted constant elliptic curves. (English) Zbl 07202037 Pac. J. Math. 305, No. 2, 597-640 (2020). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G05 14J27 11G40 11G99 14G10 14G99 PDF BibTeX XML Cite \textit{R. Griffon} and \textit{D. Ulmer}, Pac. J. Math. 305, No. 2, 597--640 (2020; Zbl 07202037) Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Zeta-functions of root systems and Poincaré polynomials of Weyl groups. (English) Zbl 1450.11092 Tohoku Math. J. (2) 72, No. 1, 87-126 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M41 11B68 11F27 11M32 11M99 PDF BibTeX XML Cite \textit{Y. Komori} et al., Tohoku Math. J. (2) 72, No. 1, 87--126 (2020; Zbl 1450.11092) Full Text: DOI Euclid
Tsfasman, Michael A. Serre’s theorem and measures corresponding to abelian varieties over finite fields. (English) Zbl 07206629 Mosc. Math. J. 19, No. 4, 789-806 (2019). MSC: 11G10 11G20 PDF BibTeX XML Cite \textit{M. A. Tsfasman}, Mosc. Math. J. 19, No. 4, 789--806 (2019; Zbl 07206629) Full Text: Link
Hallouin, Emmanuel; Perret, Marc A unified viewpoint for upper bounds for the number of points of curves over finite fields via Euclidean geometry and semi-definite symmetric Toeplitz matrices. (English) Zbl 1445.11053 Trans. Am. Math. Soc. 372, No. 8, 5409-5451 (2019). Reviewer: Mariana Coutinho (São Carlos) MSC: 11G20 14G05 14G15 14H99 15B05 11M38 PDF BibTeX XML Cite \textit{E. Hallouin} and \textit{M. Perret}, Trans. Am. Math. Soc. 372, No. 8, 5409--5451 (2019; Zbl 1445.11053) Full Text: DOI
Marcolli, Matilde Motivic information. (English) Zbl 1420.14013 Boll. Unione Mat. Ital. 12, No. 1-2, 19-41 (2019). Reviewer: Nikolai L. Manev (Sofia) MSC: 14C15 94A17 14E18 14G10 PDF BibTeX XML Cite \textit{M. Marcolli}, Boll. Unione Mat. Ital. 12, No. 1--2, 19--41 (2019; Zbl 1420.14013) Full Text: DOI arXiv
Gaitsgory, Dennis; Lurie, Jacob Weil’s conjecture for function fields: volume I. (English) Zbl 1439.14006 Annals of Mathematics Studies 199. Princeton, NJ: Princeton University Press (ISBN 978-0-691-18213-1/hbk; 978-0-691-18214-8/pbk; 978-0-691-18443-2/ebook). viii, 311 p. (2019). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14-02 14F30 11R58 14H60 14G10 14H05 14D20 PDF BibTeX XML Cite \textit{D. Gaitsgory} and \textit{J. Lurie}, Weil's conjecture for function fields: volume I. Princeton, NJ: Princeton University Press (2019; Zbl 1439.14006) Full Text: DOI
Karemaker, Valentijn; Pries, Rachel Fully maximal and fully minimal abelian varieties. (English) Zbl 1441.11155 J. Pure Appl. Algebra 223, No. 7, 3031-3056 (2019). MSC: 11G10 11G20 14H37 14H45 11G25 14G15 14K15 PDF BibTeX XML Cite \textit{V. Karemaker} and \textit{R. Pries}, J. Pure Appl. Algebra 223, No. 7, 3031--3056 (2019; Zbl 1441.11155) Full Text: DOI arXiv
Farmer, David W.; Koutsoliotas, Sally; Lemurell, Stefan Varieties via their L-functions. (English) Zbl 06987940 J. Number Theory 196, 364-380 (2019). MSC: 11F66 11G10 11G30 11M41 PDF BibTeX XML Cite \textit{D. W. Farmer} et al., J. Number Theory 196, 364--380 (2019; Zbl 06987940) Full Text: DOI arXiv
Opitz, Sebastian Computation of Eisenstein series associated with discriminant forms. (English) Zbl 1423.11005 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.).. viii, 117 p. (2018). MSC: 11-02 65-02 11F11 11F30 11F27 PDF BibTeX XML Cite \textit{S. Opitz}, Computation of Eisenstein series associated with discriminant forms. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). (2018; Zbl 1423.11005) Full Text: Link
Pratt, Kyle; Robles, Nicolas Perturbed moments and a longer mollifier for critical zeros of \(\zeta \). (English) Zbl 1444.11170 Res. Number Theory 4, No. 1, Paper No. 9, 26 p. (2018). MSC: 11M06 11M26 11L05 11L26 11L07 PDF BibTeX XML Cite \textit{K. Pratt} and \textit{N. Robles}, Res. Number Theory 4, No. 1, Paper No. 9, 26 p. (2018; Zbl 1444.11170) Full Text: DOI
Cherednik, Ivan Riemann hypothesis for DAHA superpolynomials and plane curve singularities. (English) Zbl 1422.57015 Commun. Number Theory Phys. 12, No. 3, 409-490 (2018). Reviewer: Hu Jun (Beijing) MSC: 57M25 14H50 20C08 20F36 17B22 33D52 55N10 PDF BibTeX XML Cite \textit{I. Cherednik}, Commun. Number Theory Phys. 12, No. 3, 409--490 (2018; Zbl 1422.57015) Full Text: DOI arXiv
Roquette, Peter The Riemann hypothesis in characteristic \(p\) in historical perspective. (English) Zbl 1414.11003 Lecture Notes in Mathematics 2222. History of Mathematics Subseries. Cham: Springer (ISBN 978-3-319-99066-8/pbk; 978-3-319-99067-5/ebook). ix, 233 p. (2018). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11-02 11-03 14-03 11R58 11M26 01A60 01A80 14G10 14H05 PDF BibTeX XML Cite \textit{P. Roquette}, The Riemann hypothesis in characteristic \(p\) in historical perspective. Cham: Springer (2018; Zbl 1414.11003) Full Text: DOI
Sugiyama, Kennichi Zeta functions of Ramanujan graphs and modular forms. (English) Zbl 1388.05091 Comment. Math. Univ. St. Pauli 66, No. 1-2, 29-43 (2017). MSC: 05C30 05C38 05C50 11G18 11G20 11M38 11M99 14G10 PDF BibTeX XML Cite \textit{K. Sugiyama}, Comment. Math. Univ. St. Pauli 66, No. 1--2, 29--43 (2017; Zbl 1388.05091) Full Text: arXiv
Sugiyama, Ken-ichi The Ihara zeta functions of a Ramanujan graph. (English) Zbl 1393.05157 RIMS Kôkyûroku Bessatsu B66, 195-211 (2017). MSC: 05C30 05C38 05C50 11G18 11G20 11M38 11M99 14G10 PDF BibTeX XML Cite \textit{K.-i. Sugiyama}, RIMS Kôkyûroku Bessatsu B66, 195--211 (2017; Zbl 1393.05157)
Kasparian, Azniv; Marinov, Ivan Duursma’s reduced polynomial. (English) Zbl 1386.94111 Adv. Math. Commun. 11, No. 4, 647-669 (2017). MSC: 94B27 14G50 11T71 PDF BibTeX XML Cite \textit{A. Kasparian} and \textit{I. Marinov}, Adv. Math. Commun. 11, No. 4, 647--669 (2017; Zbl 1386.94111) Full Text: DOI arXiv
Marcolli, Matilde; Tabuada, Gonçalo Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. (English) Zbl 1429.14003 J. Noncommut. Geom. 11, No. 1, 1-49 (2017). MSC: 14A22 14C15 82B10 PDF BibTeX XML Cite \textit{M. Marcolli} and \textit{G. Tabuada}, J. Noncommut. Geom. 11, No. 1, 1--49 (2017; Zbl 1429.14003) Full Text: DOI arXiv
Oliver, T. Zeta integrals on arithmetic surfaces. (English) Zbl 1383.14007 St. Petersbg. Math. J. 27, No. 6, 1003-1028 (2016) and Algebra Anal. 27, No. 6, 199-233 (2015). MSC: 14G10 11G40 PDF BibTeX XML Cite \textit{T. Oliver}, St. Petersbg. Math. J. 27, No. 6, 1003--1028 (2016; Zbl 1383.14007) Full Text: DOI
Casas-Sánchez, O. F.; Galeano-Peñaloza, J.; Rodríguez-Vega, J. J. Fundamental solutions of pseudo-differential equations associated with quadratic forms in even dimension. (English) Zbl 1350.11105 Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 19-28 (2016). MSC: 11S80 47S10 35A08 PDF BibTeX XML Cite \textit{O. F. Casas-Sánchez} et al., Contemp. Math. 665, 19--28 (2016; Zbl 1350.11105) Full Text: DOI
Connes, Alain; Consani, Caterina Geometry of the arithmetic site. (English) Zbl 1368.14038 Adv. Math. 291, 274-329 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 14G99 11S40 12K10 14G10 58B34 46L85 PDF BibTeX XML Cite \textit{A. Connes} and \textit{C. Consani}, Adv. Math. 291, 274--329 (2016; Zbl 1368.14038) Full Text: DOI arXiv
Alfes, Claudia CM values and Fourier coefficients of harmonic Maass forms. (English) Zbl 1327.11033 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). viii, 139 p. (2015). MSC: 11F30 11F37 11F11 11G15 PDF BibTeX XML Cite \textit{C. Alfes}, CM values and Fourier coefficients of harmonic Maass forms. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2015; Zbl 1327.11033) Full Text: Link
Ulmer, Douglas Curves and Jacobians over function fields. (English) Zbl 1384.11077 Bars, Francesc (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 281-337 (2014). MSC: 11G35 11G50 11G40 14H40 PDF BibTeX XML Cite \textit{D. Ulmer}, in: Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 -- March 5 and April 6--16, 2010. Basel: Birkhäuser/Springer. 281--337 (2014; Zbl 1384.11077) Full Text: DOI
Haines, Thomas J. The stable Bernstein center and test functions for Shimura varieties. (English) Zbl 1377.11064 Diamond, Fred (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 (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). London Mathematical Society Lecture Note Series 415, 118-186 (2014). MSC: 11F72 11G18 11F70 PDF BibTeX XML Cite \textit{T. J. Haines}, Lond. Math. Soc. Lect. Note Ser. 415, 118--186 (2014; Zbl 1377.11064) Full Text: arXiv
Flicker, Yuval Z. Harmonic analysis on the Iwahori-Hecke algebra. (English) Zbl 1323.11028 Jpn. J. Math. (3) 9, No. 2, 171-216 (2014). Reviewer: Sandeep Varma (Mumbai) MSC: 11F70 11F72 22E35 22E55 11G20 11R39 11R52 11R58 14H30 11S37 PDF BibTeX XML Cite \textit{Y. Z. Flicker}, Jpn. J. Math. (3) 9, No. 2, 171--216 (2014; Zbl 1323.11028) Full Text: DOI
Hooley, Christopher On octonary cubic forms. (English) Zbl 1343.11044 Proc. Lond. Math. Soc. (3) 109, No. 1, 241-281 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D72 11D25 11P55 14G10 11E76 PDF BibTeX XML Cite \textit{C. Hooley}, Proc. Lond. Math. Soc. (3) 109, No. 1, 241--281 (2014; Zbl 1343.11044) Full Text: DOI
Harada, Shinya Hasse-Weil zeta functions of \(\mathrm{SL}_2\)-character varieties of arithmetic two-bridge link complements. (English) Zbl 1318.11157 Finite Fields Appl. 27, 115-129 (2014). MSC: 11S40 57M25 PDF BibTeX XML Cite \textit{S. Harada}, Finite Fields Appl. 27, 115--129 (2014; Zbl 1318.11157) Full Text: DOI arXiv
van Frankenhuijsen, Machiel The Riemann hypothesis for function fields. Frobenius flow and shift operators. (English) Zbl 1294.14009 London Mathematical Society Student Texts 80. Cambridge: Cambridge University Press (ISBN 978-1-107-68531-4/pbk; 978-1-107-04721-1/hbk; 978-1-107-72336-8/ebook). xii, 152 p. (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 14G10 11R42 11R58 11S40 PDF BibTeX XML Cite \textit{M. van Frankenhuijsen}, The Riemann hypothesis for function fields. Frobenius flow and shift operators. Cambridge: Cambridge University Press (2014; Zbl 1294.14009)
Flicker, Yuval Z. Eisenstein series and the trace formula for \(\mathrm{GL}(2)\) over a function field. (English) Zbl 1305.11041 Doc. Math. 19, 1-62 (2014). Reviewer: Salah Mehdi (Metz) MSC: 11F70 11F72 22E35 22E55 11G20 11R39 11R52 11R58 11S37 PDF BibTeX XML Cite \textit{Y. Z. Flicker}, Doc. Math. 19, 1--62 (2014; Zbl 1305.11041) Full Text: EMIS
Cho, Peter J.; Kim, Henry H. Probabilistic properties of number fields. (English) Zbl 1318.11146 J. Number Theory 133, No. 12, 4175-4187 (2013). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11M41 11R39 11F66 11R21 11R29 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{H. H. Kim}, J. Number Theory 133, No. 12, 4175--4187 (2013; Zbl 1318.11146) Full Text: DOI
Murty, M. Ram The Fibonacci zeta function. (English) Zbl 1307.11096 Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 409-425 (2013). Reviewer: Maciej Radziejewski (Poznań) MSC: 11M41 11B39 11F27 11J81 PDF BibTeX XML Cite \textit{M. R. Murty}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 409--425 (2013; Zbl 1307.11096)
Holowinsky, Roman; Munshi, Ritabrata Level aspect subconvexity for Rankin-Selberg \(L\)-functions. (English) Zbl 1305.11036 Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 311-334 (2013). Reviewer: Valentin Blomer (Göttingen) MSC: 11F66 11F11 11M41 PDF BibTeX XML Cite \textit{R. Holowinsky} and \textit{R. Munshi}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 311--334 (2013; Zbl 1305.11036) Full Text: arXiv
Proskurin, N. V. On the cubic \(L\)-function. (English. Russian original) Zbl 1295.11039 St. Petersbg. Math. J. 24, No. 2, 353-370 (2013); translation from Algebra Anal. 24, No. 2, 230-256 (2012). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 11F27 11M41 11R52 PDF BibTeX XML Cite \textit{N. V. Proskurin}, St. Petersbg. Math. J. 24, No. 2, 353--370 (2013; Zbl 1295.11039); translation from Algebra Anal. 24, No. 2, 230--256 (2012) Full Text: DOI
Gerasimov, Anton A.; Lebedev, Dimitri R. Representation theory over tropical semifield and Langlands duality. (English) Zbl 1323.11097 Commun. Math. Phys. 320, No. 2, 301-346 (2013). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 11S37 33D80 22E50 81T45 11M36 14T05 17B37 PDF BibTeX XML Cite \textit{A. A. Gerasimov} and \textit{D. R. Lebedev}, Commun. Math. Phys. 320, No. 2, 301--346 (2013; Zbl 1323.11097) Full Text: DOI arXiv
Scholze, Peter The Langlands-Kottwitz approach for some simple Shimura varieties. (English) Zbl 1309.14020 Invent. Math. 192, No. 3, 627-661 (2013). Reviewer: Salman Abdulali (Greenville) MSC: 14G35 14G10 11G18 22E50 PDF BibTeX XML Cite \textit{P. Scholze}, Invent. Math. 192, No. 3, 627--661 (2013; Zbl 1309.14020) Full Text: DOI arXiv
Ulmer, Douglas On Mordell-Weil groups of Jacobians over function fields. (English) Zbl 1318.14025 J. Inst. Math. Jussieu 12, No. 1, 1-29 (2013). Reviewer: Herbert Lange (Erlangen) MSC: 14G05 11G40 11G05 11G10 11G30 14G10 14G25 14K15 PDF BibTeX XML Cite \textit{D. Ulmer}, J. Inst. Math. Jussieu 12, No. 1, 1--29 (2013; Zbl 1318.14025) Full Text: DOI arXiv
Hindry, Marc André Weil’s proof of the Riemann hypothesis for a curve over a finite field. (La preuve par André Weil de l’hypothèse de Riemann pour une courbe sur un corps fini.) (French) Zbl 1345.11063 Harinck, Pascale (ed.) et al., Henri Cartan et André Weil. Mathématiciens du XX\(^{\text e}\) siècle. Journées mathématiques X-UPS, Palaiseau, France, May 3–4, 2012. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1610-4/pbk). 63-98 (2012). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11M26 11G20 14G15 PDF BibTeX XML Cite \textit{M. Hindry}, in: Henri Cartan et André Weil. Mathématiciens du XX\(^{\text e}\) siècle. Journées mathématiques X-UPS, Palaiseau, France, May 3--4, 2012. Palaiseau: Les Éditions de l'École Polytechnique. 63--98 (2012; Zbl 1345.11063) Full Text: Link
Deninger, Christopher; Wegner, Dimitri Horizontal factorizations of certain Hasse-Weil zeta functions – a remark on a paper of Taniyama. (English) Zbl 1276.11181 Rend. Semin. Mat. Univ. Padova 128, 91-108 (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11G10 14G10 11G40 14K15 11G35 PDF BibTeX XML Cite \textit{C. Deninger} and \textit{D. Wegner}, Rend. Semin. Mat. Univ. Padova 128, 91--108 (2012; Zbl 1276.11181) Full Text: DOI Link arXiv
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 PDF BibTeX XML Cite \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)
Hu, Pei-Chu; Ye, Zhuan Analytic properties of the Hasse-Weil \(L\)-function. (English) Zbl 1279.11109 Adv. Pure Appl. Math. 3, No. 3, 247-257 (2012). MSC: 11R42 11N56 11M26 PDF BibTeX XML Cite \textit{P.-C. Hu} and \textit{Z. Ye}, Adv. Pure Appl. Math. 3, No. 3, 247--257 (2012; Zbl 1279.11109) Full Text: DOI
Vepštas, Linas On Plouffe’s Ramanujan identities. (English) Zbl 1271.11086 Ramanujan J. 27, No. 3, 387-408 (2012). MSC: 11M06 11Y60 11F27 PDF BibTeX XML Cite \textit{L. Vepštas}, Ramanujan J. 27, No. 3, 387--408 (2012; Zbl 1271.11086) Full Text: DOI arXiv
Li, Xian-Jin On the explicit formula in the theory of prime numbers. (English) Zbl 1315.11074 Int. J. Number Theory 8, No. 3, 589-597 (2012). MSC: 11M26 PDF BibTeX XML Cite \textit{X.-J. Li}, Int. J. Number Theory 8, No. 3, 589--597 (2012; Zbl 1315.11074) Full Text: DOI
Occhipinti, Thomas A family of elliptic curves of large rank. (English) Zbl 1264.11047 J. Number Theory 132, No. 4, 657-665 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{T. Occhipinti}, J. Number Theory 132, No. 4, 657--665 (2012; Zbl 1264.11047) Full Text: DOI
Picone, Alberto On the classification of algebraic function fields of class number three. (English) Zbl 1276.11188 Discrete Math. 312, No. 3, 637-646 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 11R29 PDF BibTeX XML Cite \textit{A. Picone}, Discrete Math. 312, No. 3, 637--646 (2012; Zbl 1276.11188) Full Text: DOI
Ahn, Jaehyun; Jung, Hwanyup A determinant formula for congruent zeta functions of real Abelian function fields. (English) Zbl 1263.11103 Bull. Korean Math. Soc. 48, No. 6, 1219-1224 (2011). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R60 11M38 11R58 PDF BibTeX XML Cite \textit{J. Ahn} and \textit{H. Jung}, Bull. Korean Math. Soc. 48, No. 6, 1219--1224 (2011; Zbl 1263.11103) Full Text: DOI Link
Harada, Shinya Hasse-Weil zeta function of absolutely irreducible \(\text{SL}_{2}\)-representations of the figure 8 knot group. (English) Zbl 1254.11107 Proc. Am. Math. Soc. 139, No. 9, 3115-3125 (2011). MSC: 11S40 14G10 57M27 PDF BibTeX XML Cite \textit{S. Harada}, Proc. Am. Math. Soc. 139, No. 9, 3115--3125 (2011; Zbl 1254.11107) Full Text: DOI
Morin, Baptiste On the Weil-étale cohomology of number fields. (English) Zbl 1233.14016 Trans. Am. Math. Soc. 363, No. 9, 4877-4927 (2011). Reviewer: Cristiana Bertolin (Padova) MSC: 14F20 14G10 PDF BibTeX XML Cite \textit{B. Morin}, Trans. Am. Math. Soc. 363, No. 9, 4877--4927 (2011; Zbl 1233.14016) Full Text: DOI arXiv
Scholze, Peter The Langlands-Kottwitz approach for the modular curve. (English) Zbl 1309.14019 Int. Math. Res. Not. 2011, No. 15, 3368-3425 (2011). Reviewer: Salman Abdulali (Greenville) MSC: 14G35 11G18 11G40 14G10 22E50 PDF BibTeX XML Cite \textit{P. Scholze}, Int. Math. Res. Not. 2011, No. 15, 3368--3425 (2011; Zbl 1309.14019) Full Text: DOI arXiv
Morin, Baptiste The Weil-étale fundamental group of a number field. II. (English) Zbl 1247.14015 Sel. Math., New Ser. 17, No. 1, 67-137 (2011). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14F20 14F35 11R42 PDF BibTeX XML Cite \textit{B. Morin}, Sel. Math., New Ser. 17, No. 1, 67--137 (2011; Zbl 1247.14015) Full Text: DOI arXiv
Weil, Sylvie At home with André and Simone Weil. Translated from the 2009 French original by Benjamin Ivry. (English) Zbl 1256.01028 Evanston, IL: Northwestern University Press (ISBN 978-0-8101-2704-3/hbk). vi, 181 p. (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 01A70 01A80 PDF BibTeX XML Cite \textit{S. Weil}, At home with André and Simone Weil. Translated from the 2009 French original by Benjamin Ivry. Evanston, IL: Northwestern University Press (2010; Zbl 1256.01028)
Weng, Lin Stability and arithmetic: an extract of essence. (English) Zbl 1219.11169 RIMS Kôkyûroku Bessatsu B19, 187-220 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R39 11R42 11S37 11S40 14G10 14G22 PDF BibTeX XML Cite \textit{L. Weng}, RIMS Kôkyûroku Bessatsu B19, 187--220 (2010; Zbl 1219.11169)
Bombieri, E. The classical theory of zeta and \(L\)-functions. (English) Zbl 1275.11117 Milan J. Math. 78, No. 1, 11-59 (2010). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11M06 11-03 11M36 11M38 11M50 PDF BibTeX XML Cite \textit{E. Bombieri}, Milan J. Math. 78, No. 1, 11--59 (2010; Zbl 1275.11117) Full Text: DOI
Shiomi, Daisuke A congruence modulo \(p\) of zeta polynomial for cyclotomic function fields. (English) Zbl 1198.11079 Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 71-80 (2010). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11M38 11R60 PDF BibTeX XML Cite \textit{D. Shiomi}, AIP Conf. Proc. 1264, 71--80 (2010; Zbl 1198.11079) Full Text: DOI
Cornelissen, Gunther; Kontogeorgis, Aristides; van der Zalm, Lotte Arithmetic equivalence for function fields, the Goss zeta function and a generalisation. (English) Zbl 1197.11112 J. Number Theory 130, No. 4, 1000-1012 (2010). Reviewer: Andreas Schweizer (Taipei) MSC: 11M38 11R58 14H05 PDF BibTeX XML Cite \textit{G. Cornelissen} et al., J. Number Theory 130, No. 4, 1000--1012 (2010; Zbl 1197.11112) Full Text: DOI arXiv
Olofsson, Rikard Local Riemann hypothesis for complex numbers. (English) Zbl 1229.11120 Int. J. Number Theory 5, No. 7, 1221-1230 (2009). Reviewer: C. Douglas Haessig (Rochester) MSC: 11M41 11S40 PDF BibTeX XML Cite \textit{R. Olofsson}, Int. J. Number Theory 5, No. 7, 1221--1230 (2009; Zbl 1229.11120) Full Text: DOI arXiv
Shiomi, Daisuke A determinant formula for congruence zeta functions of maximal real cyclotomic function fields. (English) Zbl 1228.11138 Acta Arith. 138, No. 3, 259-268 (2009). Reviewer: Gabriel D. Villa-Salvador (México City) MSC: 11M38 11R29 11R58 11R60 PDF BibTeX XML Cite \textit{D. Shiomi}, Acta Arith. 138, No. 3, 259--268 (2009; Zbl 1228.11138) Full Text: DOI arXiv
Lichtenbaum, Stephen The Weil-étale topology for number rings. (English) Zbl 1278.14029 Ann. Math. (2) 170, No. 2, 657-683 (2009). MSC: 14F20 11R34 14G50 14G10 PDF BibTeX XML Cite \textit{S. Lichtenbaum}, Ann. Math. (2) 170, No. 2, 657--683 (2009; Zbl 1278.14029) Full Text: DOI Link arXiv
Cornelissen, Gunther; Lorscheid, Oliver Toroidal automorphic forms for some function fields. (English) Zbl 1239.11097 J. Number Theory 129, No. 6, 1456-1463 (2009). Reviewer: Sheldon T. Joyner (Boston) MSC: 11M38 11R58 11F55 11M36 PDF BibTeX XML Cite \textit{G. Cornelissen} and \textit{O. Lorscheid}, J. Number Theory 129, No. 6, 1456--1463 (2009; Zbl 1239.11097) Full Text: DOI arXiv
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe Jacobians in isogeny classes of abelian surfaces over finite fields. (English) Zbl 1236.11058 Ann. Inst. Fourier 59, No. 1, 239-289 (2009). Reviewer: Robert Guralnick (Los Angeles) MSC: 11G20 11G25 14G10 14G15 PDF BibTeX XML Cite \textit{E. W. Howe} et al., Ann. Inst. Fourier 59, No. 1, 239--289 (2009; Zbl 1236.11058) Full Text: DOI Numdam EuDML arXiv
Freitag, Eberhard; Busam, Rolf Complex analysis. Transl. from the German by Dan Fulea. 2nd ed. (English) Zbl 1167.30001 Universitext. Berlin: Springer (ISBN 978-3-540-93982-5/pbk; 978-3-540-93983-2/ebook). x, 532 p. (2009). Reviewer: Werner Kleinert (Berlin) MSC: 30-01 11F11 11F27 11F66 11A41 PDF BibTeX XML Cite \textit{E. Freitag} and \textit{R. Busam}, Complex analysis. Transl. from the German by Dan Fulea. 2nd ed. Berlin: Springer (2009; Zbl 1167.30001) Full Text: DOI
Zagier, Don Elliptic modular forms and their applications. (English) Zbl 1259.11042 Bruinier, Jan Hendrik et al., The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Berlin: Springer (ISBN 978-3-540-74117-6/pbk). Universitext, 1-103 (2008). MSC: 11F11 11-02 11E45 11F20 11F25 11F27 11F67 PDF BibTeX XML Cite \textit{D. Zagier}, in: The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Berlin: Springer. 1--103 (2008; Zbl 1259.11042) Full Text: DOI
Ghanmi, Allal; Hantout, Youssef; Intissar, Ahmed; Zhang, Changgui; Zinoun, Azzouz Identities of arithmetic type between values of the theta function associated to a lattice in \(\mathbb R^d\) and its derivatives. (English) Zbl 1147.14020 Ramanujan J. 16, No. 3, 271-284 (2008). MSC: 14K25 33C15 11F27 11E45 PDF BibTeX XML Cite \textit{A. Ghanmi} et al., Ramanujan J. 16, No. 3, 271--284 (2008; Zbl 1147.14020) Full Text: DOI
Howe, Everett W. Supersingular genus-2 curves over fields of characteristic 3. (English) Zbl 1166.11020 Lauter, Kristin E. (ed.) et al., Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4320-8/pbk). Contemporary Mathematics 463, 49-69 (2008). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 14G10 14G15 PDF BibTeX XML Cite \textit{E. W. Howe}, Contemp. Math. 463, 49--69 (2008; Zbl 1166.11020)
Chahal, Jasbir S.; Osserman, Brian The Riemann hypothesis for elliptic curves. (English) Zbl 1163.11044 Am. Math. Mon. 115, No. 5, 431-442 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11G05 PDF BibTeX XML Cite \textit{J. S. Chahal} and \textit{B. Osserman}, Am. Math. Mon. 115, No. 5, 431--442 (2008; Zbl 1163.11044) Full Text: DOI
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 PDF BibTeX XML Cite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (2008; Zbl 1209.58007)
Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. (English) Zbl 1197.11047 Universitext. Berlin: Springer (ISBN 978-3-540-74117-6/pbk). x, 266 p. (2008). MSC: 11Fxx 11-06 00B25 11F11 11F33 11F46 11F41 11F32 11F60 11F20 11F25 11F27 11F67 11E45 PDF BibTeX XML Cite \textit{J. H. Bruinier} et al., The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Berlin: Springer (2008; Zbl 1197.11047) Full Text: DOI
Howe, Everett W.; Lauter, Kristin E. Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. (English) Zbl 1248.11043 Ann. Inst. Fourier 57, No. 3, 1019-1021 (2007). MSC: 11G20 14G15 PDF BibTeX XML Cite \textit{E. W. Howe} and \textit{K. E. Lauter}, Ann. Inst. Fourier 57, No. 3, 1019--1021 (2007; Zbl 1248.11043) Full Text: DOI Numdam arXiv
Kubota, Tomio On several multiple zeta functions. (English) Zbl 1209.11048 RIMS Kôkyûroku Bessatsu B4, 123-130 (2007). Reviewer: Gautami Bhowmik (Villeneuve d’Ascq) MSC: 11F30 11R42 11F27 11L05 PDF BibTeX XML Cite \textit{T. Kubota}, RIMS Kôkyûroku Bessatsu B4, 123--130 (2007; Zbl 1209.11048)
Bannai, Kenichi; Kobayashi, Shinichi Algebraic theta functions and Eisenstein-Kronecker numbers. (English) Zbl 1159.11048 RIMS Kôkyûroku Bessatsu B4, 63-77 (2007). Reviewer: Wadim Zudilin (Bonn) MSC: 11S40 11B68 11F03 11F27 14G10 PDF BibTeX XML Cite \textit{K. Bannai} and \textit{S. Kobayashi}, RIMS Kôkyûroku Bessatsu B4, 63--77 (2007; Zbl 1159.11048) Full Text: arXiv
Rajan, C. S. On isospectral arithmetical spaces. (English) Zbl 1131.58023 Am. J. Math. 129, No. 3, 791-806 (2007). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 58J53 22E40 11G18 11G40 58J50 PDF BibTeX XML Cite \textit{C. S. Rajan}, Am. J. Math. 129, No. 3, 791--806 (2007; Zbl 1131.58023) Full Text: DOI arXiv
Castryck, W.; Denef, J.; Vercauteren, F. Computing zeta functions of nondegenerate curves. (English) Zbl 1161.14302 IMRP, Int. Math. Res. Pap. 2006, No. 18, Article ID 72017, 57 p. (2006). MSC: 14G10 11G20 11M41 11Y16 14G15 PDF BibTeX XML Cite \textit{W. Castryck} et al., IMRP, Int. Math. Res. Pap. 2006, No. 18, Article ID 72017, 57 p. (2006; Zbl 1161.14302) Full Text: DOI
Andrianov, A. On zeta functions of orthogonal groups of single-class positive definite quadratic forms. (English. Russian original) Zbl 1099.11024 St. Petersbg. Math. J. 17, No. 4, 553-579 (2006); translation from Algebra Anal. 17, No. 4, 3-41 (2005). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F27 11E45 11F46 11F60 11M41 PDF BibTeX XML Cite \textit{A. Andrianov}, St. Petersbg. Math. J. 17, No. 4, 553--579 (2006; Zbl 1099.11024); translation from Algebra Anal. 17, No. 4, 3--41 (2005) Full Text: DOI
Okazaki, Takeo Proof of R. Salvati Manni and J. Top’s conjectures on Siegel modular forms and Abelian surfaces. (English) Zbl 1171.11312 Am. J. Math. 128, No. 1, 139-165 (2006). MSC: 11F46 14K15 11F66 14G10 PDF BibTeX XML Cite \textit{T. Okazaki}, Am. J. Math. 128, No. 1, 139--165 (2006; Zbl 1171.11312) Full Text: DOI
Ouyang, Yi The Gross conjecture over rational function fields. (English) Zbl 1217.11105 Sci. China, Ser. A 48, No. 12, 1609-1617 (2005). MSC: 11R42 11R58 PDF BibTeX XML Cite \textit{Y. Ouyang}, Sci. China, Ser. A 48, No. 12, 1609--1617 (2005; Zbl 1217.11105) Full Text: DOI
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap Pointless curves of genus three and four. (English) Zbl 1116.14010 Aubry, Yves (ed.) et al., Arithmetic, geometry and coding theory (AGCT 2003). Selected papers of the European school “Algebraic geometry and information theory” and the 9th international conference “Arithmetic, geometry and coding theory”, Luminy, France, May 19–23, 2003. Paris: Société Mathématique de France (ISBN 2-85629-175-9/pbk). Séminaires et Congrès 11, 125-141 (2005). MSC: 14G05 11G20 14H25 14G10 14G15 14H45 PDF BibTeX XML Cite \textit{E. W. Howe} et al., Sémin. Congr. 11, 125--141 (2005; Zbl 1116.14010) Full Text: Link arXiv
Hindry, Marc; Pacheco, Amílcar On the rank of Jacobians on a function field. (Sur le rang des Jacobiennes sur un corps de fonctions.) (French. English summary) Zbl 1082.11043 Bull. Soc. Math. Fr. 133, No. 2, 275-295 (2005). Reviewer: Pierre Parent (Talence) MSC: 11G40 11G35 14G25 14G05 14G10 PDF BibTeX XML Cite \textit{M. Hindry} and \textit{A. Pacheco}, Bull. Soc. Math. Fr. 133, No. 2, 275--295 (2005; Zbl 1082.11043) Full Text: DOI
Hindry, Marc; Pacheco, Amílcar; Wazir, Rania Fibrations and Tate conjecture. (Fibrations et conjecture de Tate.) (French) Zbl 1082.11044 J. Number Theory 112, No. 2, 345-368 (2005). Reviewer: D. Poulakis (Thessaloniki) MSC: 11G40 11G35 14G25 14G10 PDF BibTeX XML Cite \textit{M. Hindry} et al., J. Number Theory 112, No. 2, 345--368 (2005; Zbl 1082.11044) Full Text: DOI
Moreno, Carlos Julio Advanced analytic number theory. \(L\)-functions. (English) Zbl 1089.11002 Mathematical Surveys and Monographs 115. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3641-2/hbk). xx, 291 p. (2005). Reviewer: Samuel James Patterson (Göttingen) MSC: 11-02 11M06 11R42 11F70 11F66 PDF BibTeX XML Cite \textit{C. J. Moreno}, Advanced analytic number theory. \(L\)-functions. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1089.11002)
Viana, Paulo H.; Rodriguez, Jaime E. A. Eventually minimal curves. (English) Zbl 1110.14027 Bull. Braz. Math. Soc. (N.S.) 36, No. 1, 39-58 (2005). MSC: 14H25 11G20 14G05 14H55 14H45 PDF BibTeX XML Cite \textit{P. H. Viana} and \textit{J. E. A. Rodriguez}, Bull. Braz. Math. Soc. (N.S.) 36, No. 1, 39--58 (2005; Zbl 1110.14027) Full Text: DOI
Richter, Olav K. On transformation laws for theta functions. (English) Zbl 1066.11017 Rocky Mt. J. Math. 34, No. 4, 1473-1481 (2004). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F27 11F50 11E45 PDF BibTeX XML Cite \textit{O. K. Richter}, Rocky Mt. J. Math. 34, No. 4, 1473--1481 (2004; Zbl 1066.11017) Full Text: DOI
Simsek, Yilmaz; Yang, Sheldon Transformation for four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series. (English) Zbl 1068.11025 Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 195-202 (2004). Reviewer: Kaori Ota (Tokyo) MSC: 11F20 11F27 11M06 11M26 PDF BibTeX XML Cite \textit{Y. Simsek} and \textit{S. Yang}, Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 195--202 (2004; Zbl 1068.11025)
Simsek, Yilmaz Generalized Dedekind sums associated with the Abel sum and the Einstein and Lambert series. (English) Zbl 1064.11036 Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 125-137 (2004). Reviewer: Kaori Ota (Tokyo) MSC: 11F20 11F27 11M36 PDF BibTeX XML Cite \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 125--137 (2004; Zbl 1064.11036)
Böcherer, S.; Chiera, F. L. Petersson products of singular and almost singular theta series. (English) Zbl 1072.11031 Manuscr. Math. 115, No. 3, 281-297 (2004). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F46 11E45 11E10 11F27 11F30 11F67 PDF BibTeX XML Cite \textit{S. Böcherer} and \textit{F. L. Chiera}, Manuscr. Math. 115, No. 3, 281--297 (2004; Zbl 1072.11031) Full Text: DOI
Andrianov, A. N. Action of Hecke operators on theta-functions with rational characteristics. (English. Russian original) Zbl 1062.11024 St. Petersbg. Math. J. 15, No. 5, 715-732 (2004); translation from Algebra Anal. 15, No. 5, 109-137 (2003). Reviewer: G. K. Sankaran (Bath) MSC: 11F60 11F27 11F46 PDF BibTeX XML Cite \textit{A. N. Andrianov}, St. Petersbg. Math. J. 15, No. 5, 715--732 (2004; Zbl 1062.11024); translation from Algebra Anal. 15, No. 5, 109--137 (2003) Full Text: DOI
Blomer, Valentin On cusp forms associated with binary theta series. (English) Zbl 1083.11026 Arch. Math. 82, No. 2, 140-146 (2004). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F11 11F27 11E45 11F66 11N37 PDF BibTeX XML Cite \textit{V. Blomer}, Arch. Math. 82, No. 2, 140--146 (2004; Zbl 1083.11026) Full Text: DOI
Milne, James S.; Ramachandran, Niranjan Integral motives and special values of zeta functions. (English) Zbl 1077.11043 J. Am. Math. Soc. 17, No. 3, 499-555 (2004). Reviewer: B. Z. Moroz (Bonn) MSC: 11G09 11G25 14G15 14F42 14G10 14E30 PDF BibTeX XML Cite \textit{J. S. Milne} and \textit{N. Ramachandran}, J. Am. Math. Soc. 17, No. 3, 499--555 (2004; Zbl 1077.11043) Full Text: DOI arXiv
Booker, Andrew R. Poles of Artin \(L\)-functions and the strong Artin conjecture. (English) Zbl 1081.11038 Ann. Math. (2) 158, No. 3, 1089-1098 (2003). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R39 11R42 PDF BibTeX XML Cite \textit{A. R. Booker}, Ann. Math. (2) 158, No. 3, 1089--1098 (2003; Zbl 1081.11038) Full Text: DOI Link
Dickhut, Barbara Thetalifts of Poincaré and Eisenstein series and related zeta functions on the three-dimensional hyperbolic space. (Thetalifts von Poincaré- und Eisensteinreihen und zugehörige Zetafunktionen auf dem dreidimensionalen hyperbolischen Raum.) (German) Zbl 1128.11311 Münster: Univ. Münster, Fachbereich Mathematik und Informatik. ii, 128 S. (2003). MSC: 11F66 11F27 11F46 PDF BibTeX XML Cite \textit{B. Dickhut}, Thetalifts von Poincaré- und Eisensteinreihen und zugehörige Zetafunktionen auf dem dreidimensionalen hyperbolischen Raum. Münster: Univ. Münster, Fachbereich Mathematik und Informatik (2003; Zbl 1128.11311) Full Text: Link
Howe, Everett W.; Lauter, Kristin E. Improved upper bounds for the number of points on curves over finite fields. (English) Zbl 1065.11043 Ann. Inst. Fourier 53, No. 6, 1677-1737 (2003); corrigendum ibid. 57, No. 3, 1019-1021 (2007). MSC: 11G20 14G05 14G10 14G15 PDF BibTeX XML Cite \textit{E. W. Howe} and \textit{K. E. Lauter}, Ann. Inst. Fourier 53, No. 6, 1677--1737 (2003; Zbl 1065.11043) Full Text: DOI Numdam EuDML
Goldschmidt, David M. Algebraic functions and projective curves. (English) Zbl 1034.14011 Graduate Texts in Mathematics 215. New York, NY: Springer (ISBN 0-387-95432-5/hbk). xvi, 179 p. (2003). Reviewer: Edoardo Ballico (Povo) MSC: 14H05 11R42 11R58 14G10 14G50 PDF BibTeX XML Cite \textit{D. M. Goldschmidt}, Algebraic functions and projective curves. New York, NY: Springer (2003; Zbl 1034.14011) Full Text: DOI
Narasimhan, Anuradha Zeta functions for curves defined over finite fields. (English) Zbl 1058.14035 Adhikari, S. D. (ed.) et al., Current trends in number theory. Proceedings of the international conference on number theory, Allahabad, India, November 2000. New Delhi: Hindustan Book Agency (ISBN 81-85931-33-X/hbk). 141-146 (2002). MSC: 14G10 11G20 14G15 PDF BibTeX XML Cite \textit{A. Narasimhan}, in: Current trends in number theory. Proceedings of the international conference on number theory, Allahabad, India, November 2000. New Delhi: Hindustan Book Agency. 141--146 (2002; Zbl 1058.14035)
Conrad, Keith On Weil’s proof of the bound for Kloosterman sums. (English) Zbl 1035.11063 J. Number Theory 97, No. 2, 439-446 (2002). Reviewer: Arne Winterhof (Linz) MSC: 11T24 11L05 11M38 PDF BibTeX XML Cite \textit{K. Conrad}, J. Number Theory 97, No. 2, 439--446 (2002; Zbl 1035.11063) Full Text: DOI
Haines, T.; Ngô, Bao Châu Nearby cycles for local models of some Shimura varieties. (English) Zbl 1009.11042 Compos. Math. 133, No. 2, 117-150 (2002). Reviewer: Marc Reversat (Toulouse) MSC: 11G18 14G35 20C08 14M15 PDF BibTeX XML Cite \textit{T. Haines} and \textit{B. C. Ngô}, Compos. Math. 133, No. 2, 117--150 (2002; Zbl 1009.11042) Full Text: DOI
Miller, Stephen D. The highest lowest zero and other applications of positivity. (English) Zbl 1014.11036 Duke Math. J. 112, No. 1, 83-116 (2002). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F66 11M26 11M41 11F72 PDF BibTeX XML Cite \textit{S. D. Miller}, Duke Math. J. 112, No. 1, 83--116 (2002; Zbl 1014.11036) Full Text: DOI arXiv
Ramakrishnan, Dinakar Modularity of solvable Artin representations of \(\text{GO}(4)\)-type. (English) Zbl 1002.11045 Int. Math. Res. Not. 2002, No. 1, 1-54 (2002). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F70 11R42 11R39 PDF BibTeX XML Cite \textit{D. Ramakrishnan}, Int. Math. Res. Not. 2002, No. 1, 1--54 (2002; Zbl 1002.11045) Full Text: DOI arXiv
Spalk, Henrik Gadegaard Curves, function fields and the Riemann hypothesis. (English) Zbl 0983.11066 Lecture Notes Series. Aarhus University. 67. Aarhus: Univ. of Aarhus, Department of Mathematics, 91 p. (2001). Reviewer: B.Z.Moroz (Bonn) MSC: 11R58 14H05 14G10 PDF BibTeX XML Cite \textit{H. G. Spalk}, Curves, function fields and the Riemann hypothesis. Aarhus: Univ. of Aarhus, Department of Mathematics (2001; Zbl 0983.11066)
Wan, Daqing Partial zeta functions of algebraic varieties over finite fields. (English) Zbl 0995.14004 Finite Fields Appl. 7, No. 1, 238-251 (2001). Reviewer: Miriam Abdon (Rio de Janeiro) MSC: 14G10 14G15 PDF BibTeX XML Cite \textit{D. Wan}, Finite Fields Appl. 7, No. 1, 238--251 (2001; Zbl 0995.14004) Full Text: DOI arXiv
Bykovskii, V. A. Pairwise products of Eisenstein series, and Manin theta functions. (English. Russian original) Zbl 1051.11024 Dokl. Math. 62, No. 3, 336-338 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 375, No. 2, 154-156 (2000). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F67 11F27 11M36 PDF BibTeX XML Cite \textit{V. A. Bykovskii}, Dokl. Math. 62, No. 3, 154--156 (2000; Zbl 1051.11024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 375, No. 2, 154--156 (2000)
Bombieri, Enrico Remarks on Weil’s quadratic functional in the theory of prime numbers. I. (English) Zbl 1008.11034 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 3, 183-233 (2000). Reviewer: László Tóth (Pécs) MSC: 11M26 11M36 42A38 11R42 PDF BibTeX XML Cite \textit{E. Bombieri}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 3, 183--233 (2000; Zbl 1008.11034)
Ullrich, Peter Emil Artin’s unpublished generalization of his dissertation. (Emil Artins unveröffentlichte Verallgemeinerung seiner Dissertation.) (German) Zbl 0985.01007 Mitt. Math. Ges. Hamb. 19, 173-194 (2000). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 01A60 11-03 01A70 PDF BibTeX XML Cite \textit{P. Ullrich}, Mitt. Math. Ges. Hamb. 19, 173--194 (2000; Zbl 0985.01007)