Lesesvre, Didier Counting and equidistribution for quaternion algebras. (English) Zbl 07203112 Math. Z. 295, No. 1-2, 129-159 (2020). MSC: 11N45 11F55 11F72 11K36 43A80 PDF BibTeX XML Cite \textit{D. Lesesvre}, Math. Z. 295, No. 1--2, 129--159 (2020; Zbl 07203112) Full Text: DOI
Baier, Stephan; Prabhu, Neha; Sinha, Kaneenika Central limit theorems for elliptic curves and modular forms with smooth weight functions. (English) Zbl 07174741 J. Math. Anal. Appl. 485, No. 1, Article ID 123709, 29 p. (2020). MSC: 11F11 11F41 11G05 11G40 60F05 PDF BibTeX XML Cite \textit{S. Baier} et al., J. Math. Anal. Appl. 485, No. 1, Article ID 123709, 29 p. (2020; Zbl 07174741) Full Text: DOI
Gillman, Nate; Kural, Michael; Pascadi, Alexandru; Peng, Junyao; Sah, Ashwin Patterns of primes in the Sato-Tate conjecture. (English) Zbl 07148088 Res. Number Theory 6, No. 1, Paper No. 9, 30 p. (2020). MSC: 11N05 11F66 11G05 PDF BibTeX XML Cite \textit{N. Gillman} et al., Res. Number Theory 6, No. 1, Paper No. 9, 30 p. (2019; Zbl 07148088) Full Text: DOI
Costa, Edgar; Fité, Francesc; Sutherland, Andrew V. Arithmetic invariants from Sato-Tate moments. (Invariants arithmétiques provenant des moments de Sato-Tate.) (English. French summary) Zbl 1444.11127 C. R., Math., Acad. Sci. Paris 357, No. 11-12, 823-826 (2019). MSC: 11G10 14G10 14K15 11M50 PDF BibTeX XML Cite \textit{E. Costa} et al., C. R., Math., Acad. Sci. Paris 357, No. 11--12, 823--826 (2019; Zbl 1444.11127) Full Text: DOI arXiv
Griffon, Richard Bounds on special values of \(L\)-functions of elliptic curves in an Artin-Schreier family. (English) Zbl 07073693 Eur. J. Math. 5, No. 2, 476-517 (2019). MSC: 11G05 11G40 11M38 11F67 11L05 11J20 PDF BibTeX XML Cite \textit{R. Griffon}, Eur. J. Math. 5, No. 2, 476--517 (2019; Zbl 07073693) Full Text: DOI
Shparlinski, Igor E. The Sato-Tate distribution in thin families of elliptic curves over high degree extensions of finite fields. (English) Zbl 1443.11102 Int. J. Number Theory 15, No. 3, 469-477 (2019). MSC: 11G05 11G20 11T30 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Int. J. Number Theory 15, No. 3, 469--477 (2019; Zbl 1443.11102) Full Text: DOI
Luca, Florian; Radziwiłł, Maksym; Shparlinski, Igor E. On the typical size and cancellations among the coefficients of some modular forms. (English) Zbl 1450.11100 Math. Proc. Camb. Philos. Soc. 166, No. 1, 173-189 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N45 11G40 PDF BibTeX XML Cite \textit{F. Luca} et al., Math. Proc. Camb. Philos. Soc. 166, No. 1, 173--189 (2019; Zbl 1450.11100) Full Text: DOI
Baier, Stephan; Prabhu, Neha Moments of the error term in the Sato-Tate law for elliptic curves. (English) Zbl 1450.11051 J. Number Theory 194, 44-82 (2019). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{S. Baier} and \textit{N. Prabhu}, J. Number Theory 194, 44--82 (2019; Zbl 1450.11051) Full Text: DOI arXiv
Fité, Francesc; Lorenzo García, Elisa; Sutherland, Andrew V. Sato-Tate distributions of twists of the Fermat and the Klein quartics. (English) Zbl 1451.11050 Res. Math. Sci. 5, No. 4, Paper No. 41, 40 p. (2018). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11G10 11G15 14G10 14J28 PDF BibTeX XML Cite \textit{F. Fité} et al., Res. Math. Sci. 5, No. 4, Paper No. 41, 40 p. (2018; Zbl 1451.11050) Full Text: DOI
de la Bretèche, Régis; Sha, Min; Shparlinski, Igor E.; Voloch, José Felipe The Sato-Tate distribution in thin parametric families of elliptic curves. (English) Zbl 1426.11057 Math. Z. 290, No. 3-4, 831-855 (2018). Reviewer: Mohammad Sadek (New Cairo) MSC: 11G05 11G20 14H52 PDF BibTeX XML Cite \textit{R. de la Bretèche} et al., Math. Z. 290, No. 3--4, 831--855 (2018; Zbl 1426.11057) Full Text: DOI arXiv
Amri, Mohammed Amin Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms. (English) Zbl 1442.11073 Arch. Math. 111, No. 3, 257-266 (2018). Reviewer: Ilker Inam (Bilecik) MSC: 11F03 11F30 11F37 PDF BibTeX XML Cite \textit{M. A. Amri}, Arch. Math. 111, No. 3, 257--266 (2018; Zbl 1442.11073) Full Text: DOI
Lario, Joan-Carles; Somoza, Anna The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité). (English) Zbl 1440.11100 Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 701, 151-165 (2018). MSC: 11G10 11G15 11G30 11G40 PDF BibTeX XML Cite \textit{J.-C. Lario} and \textit{A. Somoza}, Contemp. Math. 701, 151--165 (2018; Zbl 1440.11100) Full Text: DOI
Agwu, Anthony; Harris, Phillip; James, Kevin; Kannan, Siddarth; Li, Huixi Frobenius distributions in short intervals for CM elliptic curves. (English) Zbl 1411.11052 J. Number Theory 188, 263-280 (2018). Reviewer: Sungkon Chang (Savannah) MSC: 11G15 11G05 PDF BibTeX XML Cite \textit{A. Agwu} et al., J. Number Theory 188, 263--280 (2018; Zbl 1411.11052) Full Text: DOI
Calegari, Frank; Geraghty, David Modularity lifting beyond the Taylor-Wiles method. (English) Zbl 06830049 Invent. Math. 211, No. 1, 297-433 (2018). MSC: 11F33 11F80 PDF BibTeX XML Cite \textit{F. Calegari} and \textit{D. Geraghty}, Invent. Math. 211, No. 1, 297--433 (2018; Zbl 06830049) Full Text: DOI arXiv
Chen, Evan; Park, Peter S.; Swaminathan, Ashvin A. Elliptic curve variants of the least quadratic nonresidue problem and Linnik’s theorem. (English) Zbl 1428.11106 Int. J. Number Theory 14, No. 1, 255-288 (2018). MSC: 11G05 11R44 14H52 11N05 11M41 PDF BibTeX XML Cite \textit{E. Chen} et al., Int. J. Number Theory 14, No. 1, 255--288 (2018; Zbl 1428.11106) Full Text: DOI
Wang, Yingnan; Xiao, Xuanxuan Some notes on distribution of Hecke eigenvalues for Maass cusp forms. (English) Zbl 1408.11036 Lith. Math. J. 57, No. 4, 521-535 (2017). MSC: 11F37 11F25 11F67 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{X. Xiao}, Lith. Math. J. 57, No. 4, 521--535 (2017; Zbl 1408.11036) Full Text: DOI
Sha, Min; Shparlinski, Igor E. The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height. (English) Zbl 1410.11054 Indag. Math., New Ser. 28, No. 2, 306-320 (2017). MSC: 11G05 11G50 14H52 PDF BibTeX XML Cite \textit{M. Sha} and \textit{I. E. Shparlinski}, Indag. Math., New Ser. 28, No. 2, 306--320 (2017; Zbl 1410.11054) Full Text: DOI arXiv
Johansson, Christian On the Sato-Tate conjecture for non-generic abelian surfaces. (English) Zbl 1428.11100 Trans. Am. Math. Soc. 369, No. 9, 6303-6325 (2017). MSC: 11F80 11G10 PDF BibTeX XML Cite \textit{C. Johansson}, Trans. Am. Math. Soc. 369, No. 9, 6303--6325 (2017; Zbl 1428.11100) Full Text: DOI arXiv
Nagoshi, Hirofumi Joint value-distribution of \(L\)-functions and discrepancy of Hecke eigenvalues. (English) Zbl 1411.11076 Lith. Math. J. 56, No. 3, 325-356 (2016). MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{H. Nagoshi}, Lith. Math. J. 56, No. 3, 325--356 (2016; Zbl 1411.11076) Full Text: DOI
Mackall, Blake; Miller, Steven J.; Rapti, Christina; Winsor, Karl Lower-order biases in elliptic curve Fourier coefficients in families. (English) Zbl 1417.11109 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 223-238 (2016). MSC: 11G05 11G07 11G40 11M41 PDF BibTeX XML Cite \textit{B. Mackall} et al., Contemp. Math. 663, 223--238 (2016; Zbl 1417.11109) Full Text: DOI
Lachaud, Gilles On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius. (English) Zbl 1417.11123 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 185-221 (2016). MSC: 11G20 11G30 11M50 22E45 05E05 14G10 60B20 PDF BibTeX XML Cite \textit{G. Lachaud}, Contemp. Math. 663, 185--221 (2016; Zbl 1417.11123) Full Text: DOI
James, Kevin Variants of the Sato-Tate and Lang-Trotter conjectures. (English) Zbl 1417.11107 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 175-184 (2016). MSC: 11G05 11N05 11M50 11P55 11D85 PDF BibTeX XML Cite \textit{K. James}, Contemp. Math. 663, 175--184 (2016; Zbl 1417.11107) Full Text: DOI
Fité, Francesc; Sutherland, Andrew V. Sato-Tate groups of \(y^2=x^8+c\) and \(y^2=x^7-cx\). (English) Zbl 1411.11090 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 103-126 (2016). MSC: 11M50 11G10 11G20 14G10 14K15 PDF BibTeX XML Cite \textit{F. Fité} and \textit{A. V. Sutherland}, Contemp. Math. 663, 103--126 (2016; Zbl 1411.11090) Full Text: DOI arXiv
Bucur, Alina; Kedlaya, Kiran S. An application of the effective Sato-Tate conjecture. (English) Zbl 1417.11103 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 45-56 (2016). MSC: 11G05 11R44 PDF BibTeX XML Cite \textit{A. Bucur} and \textit{K. S. Kedlaya}, Contemp. Math. 663, 45--56 (2016; Zbl 1417.11103) Full Text: DOI arXiv
Ash, Avner; Gross, Robert Summing it up: from one plus one to modern number theory. (English) Zbl 1354.11001 Princeton, NJ: Princeton University Press (ISBN 978-0-691-17019-0/hbk; 978-1-400-88053-9/ebook). xiii, 229 p. (2016). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 00-01 00A09 97A80 97F10 PDF BibTeX XML Cite \textit{A. Ash} and \textit{R. Gross}, Summing it up: from one plus one to modern number theory. Princeton, NJ: Princeton University Press (2016; Zbl 1354.11001) Full Text: DOI
Fité, Francesc; González, Josep; Lario, Joan Carles Frobenius distribution for quotients of Fermat curves of prime exponent. (English) Zbl 1400.11086 Can. J. Math. 68, No. 2, 361-394 (2016). MSC: 11D41 11G10 11M50 14G10 PDF BibTeX XML Cite \textit{F. Fité} et al., Can. J. Math. 68, No. 2, 361--394 (2016; Zbl 1400.11086) Full Text: DOI arXiv
Jameson, Marie; Thorner, Jesse; Ye, Lynnelle Benford’s law for coefficients of newforms. (English) Zbl 1334.11033 Int. J. Number Theory 12, No. 2, 483-494 (2016). Reviewer: Mehdi Hassani (Zanjan) MSC: 11F30 11K06 11B83 PDF BibTeX XML Cite \textit{M. Jameson} et al., Int. J. Number Theory 12, No. 2, 483--494 (2016; Zbl 1334.11033) Full Text: DOI arXiv
Fité, Francesc; Shparlinski, Igor E. On the singularity of the Demjanenko matrix of quotients of Fermat curves. (English) Zbl 1402.11093 Proc. Am. Math. Soc. 144, No. 1, 55-63 (2016). MSC: 11G20 11T24 PDF BibTeX XML Cite \textit{F. Fité} and \textit{I. E. Shparlinski}, Proc. Am. Math. Soc. 144, No. 1, 55--63 (2016; Zbl 1402.11093) Full Text: DOI
Lü, Guangshi Shifted convolution sums of Fourier coefficients with divisor functions. (English) Zbl 1363.11067 Acta Math. Hung. 146, No. 1, 86-97 (2015). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F30 11F11 11F66 PDF BibTeX XML Cite \textit{G. Lü}, Acta Math. Hung. 146, No. 1, 86--97 (2015; Zbl 1363.11067) Full Text: DOI
Fité, Franscesc Equidistribution, \(L\)-functions, and Sato-Tate groups. (English) Zbl 1416.11108 Chamizo, Fernando (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). Contemp. Math. 649, 63-88 (2015). MSC: 11G35 11M50 11R42 14G25 PDF BibTeX XML Cite \textit{F. Fité}, Contemp. Math. 649, 63--88 (2015; Zbl 1416.11108) Full Text: DOI
Murty, M. Ram; Murty, V. Kumar Some remarks on automorphy and the Sato-Tate conjecture. (English) Zbl 1397.11119 Alaca, Ayşe (ed.) et al., Advances in the theory of numbers. Proceedings of the thirteenth conference of the Canadian Number Theory Association, CNTA, Ottawa, Canada, June 16–20, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3200-9/hbk; 978-1-4939-3201-6/ebook). Fields Institute Communications 77, 159-168 (2015). MSC: 11G40 11G10 11F80 11F33 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{V. K. Murty}, Fields Inst. Commun. 77, 159--168 (2015; Zbl 1397.11119) Full Text: DOI
Sha, Min; Shparlinski, Igor E. Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves. (English) Zbl 1384.11033 Acta Arith. 170, No. 4, 299-325 (2015). Reviewer: Andrea Bandini (Parma) MSC: 11B57 11G05 11G20 14H52 PDF BibTeX XML Cite \textit{M. Sha} and \textit{I. E. Shparlinski}, Acta Arith. 170, No. 4, 299--325 (2015; Zbl 1384.11033) Full Text: DOI arXiv
Chenevier, Gaëtan; Renard, David Level one algebraic cusp forms of classical groups of small rank. (English) Zbl 1376.11036 Mem. Am. Math. Soc. 1121, v, 122 p. (2015). MSC: 11F55 11F46 11F70 11F72 11F80 11G40 22E55 PDF BibTeX XML Cite \textit{G. Chenevier} and \textit{D. Renard}, Level one algebraic cusp forms of classical groups of small rank. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1376.11036) Full Text: DOI
Banaszak, Grzegorz; Kedlaya, Kiran S. An algebraic Sato-Tate group and Sato-Tate conjecture. (English) Zbl 1392.11041 Indiana Univ. Math. J. 64, No. 1, 245-274 (2015). MSC: 11G40 11G10 11F80 14G25 PDF BibTeX XML Cite \textit{G. Banaszak} and \textit{K. S. Kedlaya}, Indiana Univ. Math. J. 64, No. 1, 245--274 (2015; Zbl 1392.11041) Full Text: DOI Link arXiv
Harris, Michael Galois representations, automorphic forms, and the Sato-Tate conjecture. (English) Zbl 1365.11064 Indian J. Pure Appl. Math. 45, No. 5, 707-746 (2014). MSC: 11F80 11F70 11G18 PDF BibTeX XML Cite \textit{M. Harris}, Indian J. Pure Appl. Math. 45, No. 5, 707--746 (2014; Zbl 1365.11064) Full Text: DOI
Kimura, Tatsuo (ed.) Mathematics of Mikio Sato. 2nd enlarged ed. (Satō Mikio no sūgaku.) (Japanese) Zbl 1394.01001 Tokyo: Nihonhyouronsha (ISBN 978-4-535-78587-8). 490 p. (2014). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 01-01 01A60 01A70 PDF BibTeX XML Cite \textit{T. Kimura} (ed.), Satō Mikio no sūgaku (Japanese). 2nd enlarged ed. Tokyo: Nihonhyouronsha (2014; Zbl 1394.01001)
Zhou, Fan Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on \(\mathrm{PGL}(N)\). (English) Zbl 1326.11021 Ramanujan J. 35, No. 3, 405-425 (2014). Reviewer: Anke Pohl (Bonn) MSC: 11F55 11F72 11F30 PDF BibTeX XML Cite \textit{F. Zhou}, Ramanujan J. 35, No. 3, 405--425 (2014; Zbl 1326.11021) Full Text: DOI arXiv
Blomer, Valentin; Buttcane, Jack; Raulf, Nicole A Sato-Tate law for \(\mathrm{GL}(3)\). (English) Zbl 1317.11053 Comment. Math. Helv. 89, No. 4, 895-919 (2014). Reviewer: Zhengyu Mao (Newark) MSC: 11F72 11F60 PDF BibTeX XML Cite \textit{V. Blomer} et al., Comment. Math. Helv. 89, No. 4, 895--919 (2014; Zbl 1317.11053) Full Text: DOI
Thorner, Jesse The error term in the Sato-Tate conjecture. (English) Zbl 1320.11040 Arch. Math. 103, No. 2, 147-156 (2014). Reviewer: Emre Alkan (Istanbul) MSC: 11F30 11M41 PDF BibTeX XML Cite \textit{J. Thorner}, Arch. Math. 103, No. 2, 147--156 (2014; Zbl 1320.11040) Full Text: DOI arXiv
González, Josep The Frobenius traces distribution for modular abelian surfaces. (English) Zbl 1320.14038 Ramanujan J. 33, No. 2, 247-261 (2014). Reviewer: Thomas Oliver (Bristol) MSC: 14G10 14G35 11G10 PDF BibTeX XML Cite \textit{J. González}, Ramanujan J. 33, No. 2, 247--261 (2014; Zbl 1320.14038) Full Text: DOI
Andrade, Julio; Chang, Alan; Miller, Steven J. Newman’s conjecture in various settings. (English) Zbl 1296.11113 J. Number Theory 144, 70-91 (2014). MSC: 11M20 11M26 11M50 11Y35 11Y60 14G10 PDF BibTeX XML Cite \textit{J. Andrade} et al., J. Number Theory 144, 70--91 (2014; Zbl 1296.11113) Full Text: DOI arXiv
Wang, Yingnan The quantitative distribution of Hecke eigenvalues. (English) Zbl 1316.11033 Bull. Aust. Math. Soc. 90, No. 1, 28-36 (2014). Reviewer: Kaisa Matomäki (Turku) MSC: 11F30 PDF BibTeX XML Cite \textit{Y. Wang}, Bull. Aust. Math. Soc. 90, No. 1, 28--36 (2014; Zbl 1316.11033) Full Text: DOI
Fité, Francesc; Sutherland, Andrew Sato-Tate distributions of twists of \(y^2=x^5-x\) and \(y^2=x^6+1\). (English) Zbl 1303.14051 Algebra Number Theory 8, No. 3, 543-585 (2014). Reviewer: Sungkon Chang (Savannah) MSC: 14K15 14G10 11G20 11G10 PDF BibTeX XML Cite \textit{F. Fité} and \textit{A. Sutherland}, Algebra Number Theory 8, No. 3, 543--585 (2014; Zbl 1303.14051) Full Text: DOI arXiv
Shparlinski, Igor E. On the Sato-Tate conjecture on average for some families of elliptic curves. (English) Zbl 1325.11056 Forum Math. 25, No. 3, 647-664 (2013). MSC: 11G05 11L40 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Forum Math. 25, No. 3, 647--664 (2013; Zbl 1325.11056) Full Text: DOI
Fité, Francesc; Kedlaya, Kiran S.; Rotger, Víctor; Sutherland, Andrew V. Sato-Tate distributions and Galois endomorphism modules in genus 2. (English) Zbl 1269.11094 Compos. Math. 148, No. 5, 1390-1442 (2012). Reviewer: Andrea Bandini (Parma) MSC: 11M50 11G10 11G20 14G10 14K15 PDF BibTeX XML Cite \textit{F. Fité} et al., Compos. Math. 148, No. 5, 1390--1442 (2012; Zbl 1269.11094) Full Text: DOI 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)
González, Josep; Jiménez-Urroz, Jorge The Sato-Tate distribution and the values of Fourier coefficients of modular newforms. (English) Zbl 1256.11032 Exp. Math. 21, No. 1, 84-102 (2012). Reviewer: Andrea Bandini (Parma) MSC: 11F30 PDF BibTeX XML Cite \textit{J. González} and \textit{J. Jiménez-Urroz}, Exp. Math. 21, No. 1, 84--102 (2012; Zbl 1256.11032) Full Text: DOI
Serre, Jean-Pierre Lectures on \(N_X(p)\). (English) Zbl 1238.11001 Research Notes in Mathematics 11. Boca Raton, FL: CRC Press (ISBN 978-1-46650-192-8/hbk). ix, 163 p. (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11-02 14-02 11G35 11G40 14G25 19F27 PDF BibTeX XML Cite \textit{J.-P. Serre}, Lectures on \(N_X(p)\). Boca Raton, FL: CRC Press (2012; Zbl 1238.11001)
Matomäki, Kaisa A note on signs of Kloosterman sums. (English. French summary) Zbl 1252.11060 Bull. Soc. Math. Fr. 139, No. 3, 287-295 (2011). Reviewer: Zaizhao Meng (Beijing) MSC: 11L05 26D15 PDF BibTeX XML Cite \textit{K. Matomäki}, Bull. Soc. Math. Fr. 139, No. 3, 287--295 (2011; Zbl 1252.11060) Full Text: DOI Link
Murty, V. Kumar On the Sato-Tate conjecture. II. (English) Zbl 1283.11094 Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 471-482 (2011). MSC: 11G40 11G05 11F66 11M45 PDF BibTeX XML Cite \textit{V. K. Murty}, Clay Math. Proc. 13, 471--482 (2011; Zbl 1283.11094)
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard A family of Calabi-Yau varieties and potential automorphy. II. (English) Zbl 1264.11044 Publ. Res. Inst. Math. Sci. 47, No. 1, 29-98 (2011). MSC: 11F80 11F11 11G18 14J32 PDF BibTeX XML Cite \textit{T. Barnet-Lamb} et al., Publ. Res. Inst. Math. Sci. 47, No. 1, 29--98 (2011; Zbl 1264.11044) Full Text: DOI
Ahmadi, Omran; Shparlinski, Igor E. On the distribution of the number of points on algebraic curves in extensions of finite fields. (English) Zbl 1255.11032 Math. Res. Lett. 17, No. 4, 689-699 (2010). Reviewer: Štefan Porubský (Praha) MSC: 11G20 11K06 11K38 11L05 PDF BibTeX XML Cite \textit{O. Ahmadi} and \textit{I. E. Shparlinski}, Math. Res. Lett. 17, No. 4, 689--699 (2010; Zbl 1255.11032) Full Text: DOI arXiv
Miller, S. J.; Murty, M. Ram; Strauch, F. A combinatorial identity for studying Sato-Tate type problems. (English) Zbl 1234.11102 Rend. Semin. Mat., Univ. Politec. Torino 68, No. 4, 337-348 (2010). MSC: 11K38 05A10 05A40 11G40 PDF BibTeX XML Cite \textit{S. J. Miller} et al., Rend. Semin. Mat., Univ. Politec. Torino 68, No. 4, 337--348 (2010; Zbl 1234.11102) Full Text: Link
Murty, M. Ram; Murty, V. Kumar The Sato-Tate conjecture and generalizations. (English) Zbl 1223.11071 Math. Newsl., Ramanujan Math. Soc. 19, No. 1, Spec. Issue, 247-257 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G05 11G07 11-02 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{V. K. Murty}, Math. Newsl., Ramanujan Math. Soc. 19, No. 1, 247--257 (2010; Zbl 1223.11071)
Harris, Michael Arithmetic applications of the Langlands program. (English) Zbl 1203.11040 Jpn. J. Math. (3) 5, No. 1, 1-71 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F70 11-02 11F72 11F80 11G18 11R39 11S37 PDF BibTeX XML Cite \textit{M. Harris}, Jpn. J. Math. (3) 5, No. 1, 1--71 (2010; Zbl 1203.11040) Full Text: DOI
Lao, Huixue On the distribution of Kloosterman sums over a finite field. (Chinese. English summary) Zbl 1212.11093 J. Shandong Univ., Nat. Sci. 44, No. 6, 7-9, 13 (2009). MSC: 11T23 11L05 11N36 PDF BibTeX XML Cite \textit{H. Lao}, J. Shandong Univ., Nat. Sci. 44, No. 6, 7--9, 13 (2009; Zbl 1212.11093)
Banks, William D.; Shparlinski, Igor E. Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. (English) Zbl 1250.11064 Isr. J. Math. 173, 253-277 (2009). Reviewer: Thomas Ward (Bristol) MSC: 11G20 11L40 11T24 PDF BibTeX XML Cite \textit{W. D. Banks} and \textit{I. E. Shparlinski}, Isr. J. Math. 173, 253--277 (2009; Zbl 1250.11064) Full Text: DOI arXiv
Kedlaya, Kiran S.; Sutherland, Andrew V. Hyperelliptic curves, \(L\)-polynomials, and random matrices. (English) Zbl 1233.11074 Lachaud, Gilles (ed.) et al., Arithmetic, geometry, cryptography and coding theory. Proceedings of the 11th international conference, CIRM, Marseilles, France, November 5–9, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4716-9/pbk). Contemporary Mathematics 487, 119-162 (2009). MSC: 11G40 11G30 11M50 PDF BibTeX XML Cite \textit{K. S. Kedlaya} and \textit{A. V. Sutherland}, Contemp. Math. 487, 119--162 (2009; Zbl 1233.11074) Full Text: arXiv
Sivak-Fischler, Jimena Asymptotic sieve and Kloosterman sums. (Crible asymptotique et sommes de Kloosterman.) (French) Zbl 1258.11079 Bull. Soc. Math. Fr. 137, No. 1, 1-62 (2009). MSC: 11L05 11N36 PDF BibTeX XML Cite \textit{J. Sivak-Fischler}, Bull. Soc. Math. Fr. 137, No. 1, 1--62 (2009; Zbl 1258.11079) Full Text: DOI Link
Kuo, Wentang A generalization of the Sato-Tate conjecture. (English) Zbl 1229.11076 Int. J. Number Theory 5, No. 1, 173-184 (2009). MSC: 11F66 11F70 11F25 PDF BibTeX XML Cite \textit{W. Kuo}, Int. J. Number Theory 5, No. 1, 173--184 (2009; Zbl 1229.11076) Full Text: DOI
Baier, Stephan; Zhao, Liangyi The Sato-Tate conjecture on average for small angles. (English) Zbl 1246.11115 Trans. Am. Math. Soc. 361, No. 4, 1811-1832 (2009). Reviewer: Andrea Bandini (Parma) MSC: 11G05 PDF BibTeX XML Cite \textit{S. Baier} and \textit{L. Zhao}, Trans. Am. Math. Soc. 361, No. 4, 1811--1832 (2009; Zbl 1246.11115) Full Text: DOI arXiv
Baier, Stephan; Jones, Nathan A refined version of the Lang-Trotter conjecture. (English) Zbl 1188.11027 Int. Math. Res. Not. 2009, No. 3, 433-461 (2009). Reviewer: Andreas Schweizer (Hsinchu) MSC: 11G05 11N45 PDF BibTeX XML Cite \textit{S. Baier} and \textit{N. Jones}, Int. Math. Res. Not. 2009, No. 3, 433--461 (2009; Zbl 1188.11027) Full Text: DOI arXiv
Taylor, Richard Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. (English) Zbl 1169.11021 Publ. Math., Inst. Hautes Étud. Sci. 108, 183-239 (2008). Reviewer: Kâzım Büyükboduk (Bonn) MSC: 11F80 11G18 11R34 PDF BibTeX XML Cite \textit{R. Taylor}, Publ. Math., Inst. Hautes Étud. Sci. 108, 183--239 (2008; Zbl 1169.11021) Full Text: DOI
Shparlinski, Igor E. Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average. (English) Zbl 1225.11101 Mich. Math. J. 56, No. 1, 99-111 (2008). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11L05 11A07 11A99 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Mich. Math. J. 56, No. 1, 99--111 (2008; Zbl 1225.11101) Full Text: DOI
Carayol, Henri The Sato-Tate conjecture (after Clozel, Harris, Shepherd-Barron, Taylor). (La conjecture de Sato-Tate (d’après Clozel, Harris, Shepherd-Barron, Taylor).) (French) Zbl 1230.11073 Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 345-392, Exp. No. 977 (2008). Reviewer: Laurent Berger (Lyon) MSC: 11G05 11F03 11F70 11F80 11R39 PDF BibTeX XML Cite \textit{H. Carayol}, Astérisque 317, 345--392, Exp. No. 977 (2008; Zbl 1230.11073) Full Text: Link
Mazur, Barry Finding meaning in error terms. (English) Zbl 1229.11001 Bull. Am. Math. Soc., New Ser. 45, No. 2, 185-228 (2008). Reviewer: Stephan Baier (Göttingen) MSC: 11-02 11F03 11F80 11G05 11G40 PDF BibTeX XML Cite \textit{B. Mazur}, Bull. Am. Math. Soc., New Ser. 45, No. 2, 185--228 (2008; Zbl 1229.11001) Full Text: DOI
Kimura, Tatsuo (ed.); Satō, Mikio Mathematics of Mikio Sato. (Satō Mikio no sūgaku.) (Japanese) Zbl 1396.01002 Tokyo: Nihonhyouronsha (ISBN 978-4-535-78514-4). 376 p. (2007). MSC: 01-01 01A60 01A70 PDF BibTeX XML Cite \textit{T. Kimura} (ed.) and \textit{M. Satō}, Satō Mikio no sūgaku (Japanese). Tokyo: Nihonhyouronsha (2007; Zbl 1396.01002)
Katamoto, Akane On 3rd and 4th moments of finite upper half plane graphs. (English) Zbl 1163.11083 Finite Fields Appl. 13, No. 2, 249-258 (2007). MSC: 11T60 PDF BibTeX XML Cite \textit{A. Katamoto}, Finite Fields Appl. 13, No. 2, 249--258 (2007; Zbl 1163.11083) Full Text: DOI
Kuo, Wentang A remark on a modular analogue of the Sato-Tate conjecture. (English) Zbl 1141.11024 Can. Math. Bull. 50, No. 2, 234-242 (2007). Reviewer: Olav Richter (Aachen) MSC: 11F25 11F11 11F70 PDF BibTeX XML Cite \textit{W. Kuo}, Can. Math. Bull. 50, No. 2, 234--242 (2007; Zbl 1141.11024) Full Text: DOI
Michel, Philippe Some recent applications of Kloostermania. (English) Zbl 1159.11024 Nyssen, Louise (ed.), Physics and number theory. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-028-0/pbk). IRMA Lectures in Mathematics and Theoretical Physics 10, 225-251 (2006). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L05 PDF BibTeX XML Cite \textit{P. Michel}, IRMA Lect. Math. Theor. Phys. 10, 225--251 (2006; Zbl 1159.11024)
Cogdell, James W.; Kim, Henry H.; Murty, M. Ram Lectures on automorphic \(L\)-functions. (English) Zbl 1066.11021 Fields Institute Monographs 20. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3516-5/hbk). xii, 283 p. (2004). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 11-02 22E55 11F30 11F66 11R39 11S37 PDF BibTeX XML Cite \textit{J. W. Cogdell} et al., Lectures on automorphic \(L\)-functions. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1066.11021)
Fouvry, E.; Michel, P. Asymptotic sieve and Kloosterman sums. (Crible asymptotique et sommes de Kloosterman.) (French) Zbl 1065.11075 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 27 p. (2003). Reviewer: Olivier Ramaré (Lille) MSC: 11N35 11L05 PDF BibTeX XML Cite \textit{E. Fouvry} and \textit{P. Michel}, Bonn. Math. Schr. 360, 27 p. (2003; Zbl 1065.11075)
Murty, M. Ram Recent developments in the Langlands program. (English) Zbl 1115.11307 C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 2, 33-54 (2002). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F70 11R39 11S37 11-01 11-02 PDF BibTeX XML Cite \textit{M. R. Murty}, C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 2, 33--54 (2002; Zbl 1115.11307)
Kim, Henry H.; Shahidi, Freydoon Cuspidality of symmetric powers with applications. (English) Zbl 1074.11027 Duke Math. J. 112, No. 1, 177-197 (2002). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 11F30 11R42 PDF BibTeX XML Cite \textit{H. H. Kim} and \textit{F. Shahidi}, Duke Math. J. 112, No. 1, 177--197 (2002; Zbl 1074.11027) Full Text: DOI
Fouvry, Étienne; Michel, Philippe À la recherche de petites sommes d’exponentielles. (In search of small exponential sums). (French) Zbl 1014.11048 Ann. Inst. Fourier 52, No. 1, 47-80 (2002). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L07 11T23 11L05 11L20 14D05 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{P. Michel}, Ann. Inst. Fourier 52, No. 1, 47--80 (2002; Zbl 1014.11048) Full Text: DOI Numdam EuDML
Li, Wen-Ching Winnie The arithmetic of modular forms. (English) Zbl 1006.11031 Conrad, Brian (ed.) et al., Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20-July 10, 1999. Providence, RI: American Mathematical Society (AMS). IAS/ Park City Math. Ser. 9, 481-506 (2001). Reviewer: O.Ninnemann (Berlin) MSC: 11G40 11G35 11F25 14J32 11F80 11G05 11F11 PDF BibTeX XML Cite \textit{W.-C. W. Li}, in: Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20--July 10, 1999. Providence, RI: American Mathematical Society (AMS). 481--506 (2001; Zbl 1006.11031)
Vlăduţ, S. G. Isogeny class and Frobenius root statistics for abelian varieties over finite fields. (English) Zbl 0987.11042 Mosc. Math. J. 1, No. 1, 125-139 (2001). Reviewer: Michael Stoll (Düsseldorf) MSC: 11G25 14G15 11G10 14K02 28A33 14K15 PDF BibTeX XML Cite \textit{S. G. Vlăduţ}, Mosc. Math. J. 1, No. 1, 125--139 (2001; Zbl 0987.11042)
Akiyama, Shigeki; Tanigawa, Yoshio Calculation of values of \(L\)-functions associated to elliptic curves. (English) Zbl 0923.11100 Math. Comput. 68, No. 227, 1201-1231 (1999). Reviewer: A.Ivić (Beograd) MSC: 11G40 11M26 11G05 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{Y. Tanigawa}, Math. Comput. 68, No. 227, 1201--1231 (1999; Zbl 0923.11100) Full Text: DOI
Katz, Nicholas M.; Sarnak, Peter Random matrices, Frobenius eigenvalues, and monodromy. (English) Zbl 0958.11004 Colloquium Publications. American Mathematical Society (AMS). 45. Providence, RI: American Mathematical Society (AMS). xi, 419 p. (1999). Reviewer: Emilio Elizalde (Barcelona) MSC: 11-02 14-02 11M06 11Y35 14D05 11G25 14G10 82B44 60F99 PDF BibTeX XML Cite \textit{N. M. Katz} and \textit{P. Sarnak}, Random matrices, Frobenius eigenvalues, and monodromy. Providence, RI: American Mathematical Society (1999; Zbl 0958.11004)
Michel, Philippe On the Sato-Tate conjecture for Kloosterman sums. II. (Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman. II.) (French) Zbl 0959.11035 Duke Math. J. 92, No. 2, 221-254 (1998). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L05 PDF BibTeX XML Cite \textit{P. Michel}, Duke Math. J. 92, No. 2, 221--254 (1998; Zbl 0959.11035) Full Text: DOI
Conrey, J. B.; Duke, W.; Farmer, D. W. The distribution of the eigenvalues of Hecke operators. (English) Zbl 0876.11020 Acta Arith. 78, No. 4, 405-409 (1997). Reviewer: A.A.Terras (La Jolla) MSC: 11F25 11F11 11F72 11F30 PDF BibTeX XML Cite \textit{J. B. Conrey} et al., Acta Arith. 78, No. 4, 405--409 (1997; Zbl 0876.11020) Full Text: DOI EuDML
Hurt, Norman E. Kloosterman sums and their applications: A review. (English) Zbl 0852.11043 Result. Math. 29, No. 1-2, 16-41 (1996). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11L05 11F72 11F11 11F37 PDF BibTeX XML Cite \textit{N. E. Hurt}, Result. Math. 29, No. 1--2, 16--41 (1996; Zbl 0852.11043) Full Text: DOI
Michel, P. On the Sato-Tate conjecture for Kloosterman sums. (Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman. I.) (French) Zbl 0844.11055 Invent. Math. 121, No. 1, 61-78 (1995). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11L05 11N36 11L07 PDF BibTeX XML Cite \textit{P. Michel}, Invent. Math. 121, No. 1, 61--78 (1995; Zbl 0844.11055) Full Text: DOI EuDML
Hejhal, D. A.; Arno, S. On Fourier coefficients of Maass waveforms for PSL(2,\(\mathbb{Z}\)). (English) Zbl 0781.11020 Math. Comput. 61, No. 203, 245-267, S11-S16 (1993). Reviewer: A.Krieg (Aachen) MSC: 11F30 11F03 11Y99 PDF BibTeX XML Cite \textit{D. A. Hejhal} and \textit{S. Arno}, Math. Comput. 61, No. 203, 245--267, S11--S16 (1993; Zbl 0781.11020) Full Text: DOI
Katz, Nicholas M. Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. (English) Zbl 0727.11057 Bull. Am. Math. Soc., New Ser. 23, No. 2, 269-309 (1990). Reviewer: F.Baldassarri (Padova) MSC: 11T23 14F99 12H05 32C38 14J20 14G40 PDF BibTeX XML Cite \textit{N. M. Katz}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 269--309 (1990; Zbl 0727.11057) Full Text: DOI
Sarnak, Peter Statistical properties of eigenvalues of the Hecke operators. (English) Zbl 0628.10028 Analytic number theory and diophantine problems, Proc. Conf., Stillwater/Okla. 1984, Prog. Math. 70, 321-331 (1987). Reviewer: R. W. Bruggeman (Utrecht) MSC: 11F25 11F30 11F37 11F55 11F72 PDF BibTeX XML
Moreno, C. J.; Shahidi, F. The L-function \(L_ 3(s,\pi _{\Delta})\) is entire. (English) Zbl 0558.10025 Invent. Math. 79, 247-251 (1985). Reviewer: S.J.Patterson MSC: 11F67 11F70 11S40 11F11 PDF BibTeX XML Cite \textit{C. J. Moreno} and \textit{F. Shahidi}, Invent. Math. 79, 247--251 (1985; Zbl 0558.10025) Full Text: DOI EuDML
Murty, M. Ram Oscillations of Fourier coefficients of modular forms. (English) Zbl 0489.10020 Math. Ann. 262, 431-446 (1983). Reviewer: M. Ram Murty MSC: 11F30 11F11 11F67 PDF BibTeX XML Cite \textit{M. R. Murty}, Math. Ann. 262, 431--446 (1983; Zbl 0489.10020) Full Text: DOI EuDML
Murty, V. Kumar On the Sato-Tate conjecture. (English) Zbl 0526.14011 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 195-205 (1982). MSC: 14G25 11R58 14G10 14K15 PDF BibTeX XML