Fazzari, Alessandro A weighted one-level density of families of \(L\)-functions. (English) Zbl 07771525 Algebra Number Theory 18, No. 1, 87-132 (2024). MSC: 11M06 11M26 11M41 PDF BibTeX XML Cite \textit{A. Fazzari}, Algebra Number Theory 18, No. 1, 87--132 (2024; Zbl 07771525) Full Text: DOI arXiv
Sarkar, Subham Cycles on Jacobians of Fermat curves and hypergeometric functions. (English) Zbl 07766115 J. Algebra 638, 535-566 (2024). MSC: 19F27 14C30 14C35 33C20 11G10 PDF BibTeX XML Cite \textit{S. Sarkar}, J. Algebra 638, 535--566 (2024; Zbl 07766115) Full Text: DOI
Maiti, Gopal; Mallesham, Kummari Simultaneous non-vanishing of central values of \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 07765128 J. Number Theory 255, 62-84 (2024). MSC: 11F12 11F66 11F67 11F72 PDF BibTeX XML Cite \textit{G. Maiti} and \textit{K. Mallesham}, J. Number Theory 255, 62--84 (2024; Zbl 07765128) Full Text: DOI arXiv
Nickel, Andreas The strong Stark conjecture for totally odd characters. (English) Zbl 07757739 Proc. Am. Math. Soc. 152, No. 1, 147-162 (2024). MSC: 11R42 PDF BibTeX XML Cite \textit{A. Nickel}, Proc. Am. Math. Soc. 152, No. 1, 147--162 (2024; Zbl 07757739) Full Text: DOI arXiv
Fu, Hang; Stoll, Michael Dynamics of quadratic polynomials and rational points on a curve of genus \(4\). (English) Zbl 07753434 Math. Comput. 93, No. 345, 397-410 (2024). MSC: 11G30 11G40 14G05 14G10 14H45 37P05 PDF BibTeX XML Cite \textit{H. Fu} and \textit{M. Stoll}, Math. Comput. 93, No. 345, 397--410 (2024; Zbl 07753434) Full Text: DOI arXiv
Arul, Vishal; Booher, Jeremy; Groen, Steven R.; Howe, Everett W.; Li, Wanlin; Matei, Vlad; Pries, Rachel; Springer, Caleb Doubly isogenous genus-2 curves with \(D_4\)-action. (English) Zbl 07753432 Math. Comput. 93, No. 345, 347-381 (2024). MSC: 11G20 11M38 14H40 14K02 14Q05 11G10 11Y40 14H25 14H30 14Q25 PDF BibTeX XML Cite \textit{V. Arul} et al., Math. Comput. 93, No. 345, 347--381 (2024; Zbl 07753432) Full Text: DOI arXiv
Lalin, Matilde N.; Roy, Subham Evaluations of the areal Mahler measure of multivariable polynomials. (English) Zbl 07748218 J. Number Theory 254, 103-145 (2024). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11G50 11R42 30C10 PDF BibTeX XML Cite \textit{M. N. Lalin} and \textit{S. Roy}, J. Number Theory 254, 103--145 (2024; Zbl 07748218) Full Text: DOI arXiv
Jesse, Elliott Analytic number theory and algebraic asymptotic analysis (to appear). (English) Zbl 07745808 Monographs in Number Theory 12. Singapore: World Scientific (ISBN 978-981-12-8053-5/hbk). (2024). MSC: 11-02 11Mxx PDF BibTeX XML Full Text: DOI
Hua, Guodong On general divisor problems of Hecke eigenvalues of cusp forms. (English) Zbl 07773835 Period. Math. Hung. 87, No. 2, 340-350 (2023). MSC: 11F11 11F30 11F66 PDF BibTeX XML Cite \textit{G. Hua}, Period. Math. Hung. 87, No. 2, 340--350 (2023; Zbl 07773835) Full Text: DOI
Balkanova, O. G. Spectral decomposition formula and moments of symmetric square \(L\)-functions. (English. Russian original) Zbl 07773483 Izv. Math. 87, No. 4, 641-682 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 4, 3-46 (2023). MSC: 11F66 11M36 11F72 11M41 PDF BibTeX XML Cite \textit{O. G. Balkanova}, Izv. Math. 87, No. 4, 641--682 (2023; Zbl 07773483); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 4, 3--46 (2023) Full Text: DOI arXiv MNR
Mazur, Barry; Rubin, Karl Arithmetic conjectures suggested by the statistical behavior of modular symbols. (English) Zbl 07772718 Exp. Math. 32, No. 4, 657-672 (2023). MSC: 11G05 11F67 11G40 14G05 PDF BibTeX XML Cite \textit{B. Mazur} and \textit{K. Rubin}, Exp. Math. 32, No. 4, 657--672 (2023; Zbl 07772718) Full Text: DOI arXiv
Carneiro, Emanuel; Quesada-Herrera, Emily Generalized sign Fourier uncertainty. (English) Zbl 07771794 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1671-1704 (2023). MSC: 42B10 11R42 11M06 30D15 PDF BibTeX XML Cite \textit{E. Carneiro} and \textit{E. Quesada-Herrera}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1671--1704 (2023; Zbl 07771794) Full Text: DOI arXiv
Zhang, Qiao Lower bounds for Rankin-Selberg \(L\)-functions on the edge of the critical strip. (English) Zbl 07771588 Acta Arith. 211, No. 1, 161-171 (2023). MSC: 11M26 11F66 PDF BibTeX XML Cite \textit{Q. Zhang}, Acta Arith. 211, No. 1, 161--171 (2023; Zbl 07771588) Full Text: DOI arXiv
Dixit, Anup B.; Murty, M. Ram On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 07771567 Acta Arith. 210, 95-123 (2023). MSC: 11R42 11M20 11R44 11N13 11M36 PDF BibTeX XML Cite \textit{A. B. Dixit} and \textit{M. R. Murty}, Acta Arith. 210, 95--123 (2023; Zbl 07771567) Full Text: DOI
Williams, Kenneth S. Beyond the Basel problem. II. (English) Zbl 07766786 Math. Mag. 96, No. 3, 225-233 (2023). MSC: 11M99 40A05 PDF BibTeX XML Cite \textit{K. S. Williams}, Math. Mag. 96, No. 3, 225--233 (2023; Zbl 07766786) Full Text: DOI
Nakamura, Takashi Dirichlet series with periodic coefficients, Riemann’s functional equation, and real zeros of Dirichlet \(L\)-functions. (English) Zbl 07766450 Math. Slovaca 73, No. 5, 1145-1152 (2023). MSC: 11M20 11M26 PDF BibTeX XML Cite \textit{T. Nakamura}, Math. Slovaca 73, No. 5, 1145--1152 (2023; Zbl 07766450) Full Text: DOI arXiv
Melninkas, Lukas Root numbers of 5-adic curves of genus two having maximal ramification. (English) Zbl 07765802 Milan J. Math. 91, No. 2, 255-279 (2023). MSC: 11G10 11G20 14H25 11G40 PDF BibTeX XML Cite \textit{L. Melninkas}, Milan J. Math. 91, No. 2, 255--279 (2023; Zbl 07765802) Full Text: DOI arXiv
Sono, Keiju The second moment of Dirichlet twists of a \(\mathrm{GL}_4\) automorphic \(L\)-function. (English) Zbl 07765136 Math. Z. 305, No. 3, Paper No. 37, 30 p. (2023). MSC: 11M41 PDF BibTeX XML Cite \textit{K. Sono}, Math. Z. 305, No. 3, Paper No. 37, 30 p. (2023; Zbl 07765136) Full Text: DOI arXiv OA License
Rella, Claudia Resurgence, Stokes constants, and arithmetic functions in topological string theory. (English) Zbl 07764851 Commun. Number Theory Phys. 17, No. 3, 709-820 (2023). MSC: 81T30 81Q10 11M06 14J32 30E15 32Q25 58K65 11A25 30B50 40G10 PDF BibTeX XML Cite \textit{C. Rella}, Commun. Number Theory Phys. 17, No. 3, 709--820 (2023; Zbl 07764851) Full Text: DOI arXiv
Berman, Robert J. Kähler-Einstein metrics and Archimedean zeta functions. (English) Zbl 07763391 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 199-251 (2023). MSC: 32Q20 14J45 60G55 11S40 14G40 PDF BibTeX XML Cite \textit{R. J. Berman}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 199--251 (2023; Zbl 07763391) Full Text: DOI arXiv
Yang, Liping; Zhang, Hao Unit roots of the unit root \(L\)-functions of Kloosterman family. (English) Zbl 07761943 Finite Fields Appl. 92, Article ID 102293, 19 p. (2023). MSC: 11T23 11S40 PDF BibTeX XML Cite \textit{L. Yang} and \textit{H. Zhang}, Finite Fields Appl. 92, Article ID 102293, 19 p. (2023; Zbl 07761943) Full Text: DOI arXiv
Bordellès, Olivier From the ideal theorem to the class number. (English) Zbl 07761188 Can. Math. Bull. 66, No. 4, 1368-1375 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11R42 PDF BibTeX XML Cite \textit{O. Bordellès}, Can. Math. Bull. 66, No. 4, 1368--1375 (2023; Zbl 07761188) Full Text: DOI arXiv
Garcia, Stephan Ramon; Lagarias, Jeffrey; Lee, Ethan Simpson The error term in the truncated Perron formula for the logarithm of an \(L\)-function. (English) Zbl 07761169 Can. Math. Bull. 66, No. 4, 1122-1134 (2023). MSC: 11M06 11R42 11S40 PDF BibTeX XML Cite \textit{S. R. Garcia} et al., Can. Math. Bull. 66, No. 4, 1122--1134 (2023; Zbl 07761169) Full Text: DOI arXiv
Caro, Jerson; Pasten, Hector On the fibres of an elliptic surface where the rank does not jump. (English) Zbl 07760892 Bull. Aust. Math. Soc. 108, No. 2, 276-282 (2023). MSC: 14J27 11G05 11G40 PDF BibTeX XML Cite \textit{J. Caro} and \textit{H. Pasten}, Bull. Aust. Math. Soc. 108, No. 2, 276--282 (2023; Zbl 07760892) Full Text: DOI arXiv OA License
Chen, Guohua; Jiang, Yanru Lower bounds for higher moments of the twisted \(L\)-functions. (English) Zbl 07758622 Front. Math. (Berl./Heidelb.) 18, No. 3, 683-696 (2023). MSC: 11F11 11F37 11F66 PDF BibTeX XML Cite \textit{G. Chen} and \textit{Y. Jiang}, Front. Math. (Berl./Heidelb.) 18, No. 3, 683--696 (2023; Zbl 07758622) Full Text: DOI
Hua, Guodong On the local maxima behaviour of Hecke eigenvalues and its applications. (English) Zbl 07758526 Front. Math. (Berl./Heidelb.) 18, No. 2, 491-502 (2023). MSC: 11F11 11F30 11F66 PDF BibTeX XML Cite \textit{G. Hua}, Front. Math. (Berl./Heidelb.) 18, No. 2, 491--502 (2023; Zbl 07758526) Full Text: DOI
Kim, Chan-Ho On the soft \(p\)-converse to a theorem of Gross-Zagier and Kolyvagin. (English) Zbl 07758182 Math. Ann. 387, No. 3-4, 1961-1968 (2023). MSC: 11F67 11G40 11R23 PDF BibTeX XML Cite \textit{C.-H. Kim}, Math. Ann. 387, No. 3--4, 1961--1968 (2023; Zbl 07758182) Full Text: DOI arXiv
Wu, Xiaosheng The fourth moment of Dirichlet \(L\)-functions at the central value. (English) Zbl 07758160 Math. Ann. 387, No. 3-4, 1199-1248 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11F72 PDF BibTeX XML Cite \textit{X. Wu}, Math. Ann. 387, No. 3--4, 1199--1248 (2023; Zbl 07758160) Full Text: DOI arXiv
Liu, Huafeng The average behavior of Fourier coefficients of symmetric power \(L\)-functions. (English) Zbl 07757206 Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 193, 15 p. (2023). MSC: 11F30 11F66 PDF BibTeX XML Cite \textit{H. Liu}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 193, 15 p. (2023; Zbl 07757206) Full Text: DOI
Louboutin, Stéphane R.; Munsch, Marc Mean square values of \(L\)-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers. (English) Zbl 07756923 Can. J. Math. 75, No. 5, 1711-1743 (2023). MSC: 11F20 11R42 11M20 11R29 11J71 11R20 PDF BibTeX XML Cite \textit{S. R. Louboutin} and \textit{M. Munsch}, Can. J. Math. 75, No. 5, 1711--1743 (2023; Zbl 07756923) Full Text: DOI arXiv OA License
Cho, Peter J.; Jeong, Keunyoung On the distribution of analytic ranks of elliptic curves. (English) Zbl 07755553 Math. Z. 305, No. 3, Paper No. 42, 20 p. (2023). MSC: 11G05 11G40 11M26 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{K. Jeong}, Math. Z. 305, No. 3, Paper No. 42, 20 p. (2023; Zbl 07755553) Full Text: DOI arXiv
McGown, Kevin; Vallières, Daniel On abelian \(\ell \)-towers of multigraphs. II. (English. French summary) Zbl 07755380 Ann. Math. Qué. 47, No. 2, 461-473 (2023). MSC: 05C25 05C10 11R18 11R37 11A07 33C45 PDF BibTeX XML Cite \textit{K. McGown} and \textit{D. Vallières}, Ann. Math. Qué. 47, No. 2, 461--473 (2023; Zbl 07755380) Full Text: DOI arXiv
Chen, Shih-Yu Algebraicity of the central critical values of twisted triple product \(L\)-functions. (English. French summary) Zbl 07755378 Ann. Math. Qué. 47, No. 2, 403-442 (2023). MSC: 11F67 11F70 11F75 PDF BibTeX XML Cite \textit{S.-Y. Chen}, Ann. Math. Qué. 47, No. 2, 403--442 (2023; Zbl 07755378) Full Text: DOI arXiv
Amir, Malik; Hatziiliou, Andreas A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms. (English. French summary) Zbl 07755377 Ann. Math. Qué. 47, No. 2, 389-402 (2023). MSC: 11F30 11B39 11G05 11F80 PDF BibTeX XML Cite \textit{M. Amir} and \textit{A. Hatziiliou}, Ann. Math. Qué. 47, No. 2, 389--402 (2023; Zbl 07755377) Full Text: DOI arXiv OA License
Desjardins, Julie Root number in Integer parameter families of elliptic curves. (English. French summary) Zbl 07755376 Ann. Math. Qué. 47, No. 2, 367-387 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{J. Desjardins}, Ann. Math. Qué. 47, No. 2, 367--387 (2023; Zbl 07755376) Full Text: DOI arXiv
Conrey, Brian; Fazzari, Alessandro Averages of long Dirichlet polynomials with modular coefficients. (English) Zbl 07754837 Mathematika 69, No. 4, 1060-1080 (2023). MSC: 11F11 11M99 PDF BibTeX XML Cite \textit{B. Conrey} and \textit{A. Fazzari}, Mathematika 69, No. 4, 1060--1080 (2023; Zbl 07754837) Full Text: DOI arXiv
Kandhil, Neelam; Lunia, Rashi; Sivaraman, Jyothsnaa Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields. (English) Zbl 07754304 Res. Number Theory 9, No. 4, Paper No. 69, 32 p. (2023). MSC: 11R18 11R29 11R42 11Y60 PDF BibTeX XML Cite \textit{N. Kandhil} et al., Res. Number Theory 9, No. 4, Paper No. 69, 32 p. (2023; Zbl 07754304) Full Text: DOI
Beaumont, Tiphaine On equivariant class formulas for Anderson modules. (English) Zbl 07754303 Res. Number Theory 9, No. 4, Paper No. 68, 33 p. (2023). MSC: 11G09 11R58 11M38 PDF BibTeX XML Cite \textit{T. Beaumont}, Res. Number Theory 9, No. 4, Paper No. 68, 33 p. (2023; Zbl 07754303) Full Text: DOI arXiv
Thorne, Jack A. Reciprocity and symmetric power functoriality. (English) Zbl 07754072 Auroux, Denis (ed.) et al., Current developments in mathematics 2021. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, March 2022. Somerville, MA: International Pres. 95-162 (2023). MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{J. A. Thorne}, in: Current developments in mathematics 2021. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, March 2022. Somerville, MA: International Pres. 95--162 (2023; Zbl 07754072)
Green, Nathan; Ngo Dac, Tuan Algebraic relations among Goss’s zeta values on elliptic curves. (English) Zbl 07753225 Forum Math. Sigma 11, Paper No. e90, 40 p. (2023). MSC: 11J93 11G09 11M38 PDF BibTeX XML Cite \textit{N. Green} and \textit{T. Ngo Dac}, Forum Math. Sigma 11, Paper No. e90, 40 p. (2023; Zbl 07753225) Full Text: DOI arXiv OA License
Li, Jian-Shu; Liu, Dongwen; Su, Feng; Sun, Binyong Rankin-Selberg convolutions for \(\mathrm{GL}(n) \times \mathrm{GL}(n)\) and \(\mathrm{GL} (n) \times \mathrm{GL} (n -1)\) for principal series representations. (English) Zbl 07752379 Sci. China, Math. 66, No. 10, 2203-2218 (2023). MSC: 22E50 43A80 PDF BibTeX XML Cite \textit{J.-S. Li} et al., Sci. China, Math. 66, No. 10, 2203--2218 (2023; Zbl 07752379) Full Text: DOI arXiv
Asakura, Masanori New \(p\)-adic hypergeometric functions and syntomic regulators. (English. French summary) Zbl 07750325 J. Théor. Nombres Bordx. 35, No. 2, 393-451 (2023). MSC: 14F30 19F27 11S80 19F15 PDF BibTeX XML Cite \textit{M. Asakura}, J. Théor. Nombres Bordx. 35, No. 2, 393--451 (2023; Zbl 07750325) Full Text: DOI arXiv
Kaneko, Ikuya; Koyama, Shin-Ya A new aspect of Chebyshev’s bias for elliptic curves over function fields. (English) Zbl 07748547 Proc. Am. Math. Soc. 151, No. 12, 5059-5068 (2023). MSC: 11G40 11M38 PDF BibTeX XML Cite \textit{I. Kaneko} and \textit{S.-Y. Koyama}, Proc. Am. Math. Soc. 151, No. 12, 5059--5068 (2023; Zbl 07748547) Full Text: DOI arXiv
Jo, Yeongseong The local period integrals and essential vectors. (English) Zbl 07747195 Math. Nachr. 296, No. 1, 339-367 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Jo}, Math. Nachr. 296, No. 1, 339--367 (2023; Zbl 07747195) Full Text: DOI arXiv OA License
Huang, Bingrong; Sun, Qingfeng; Zhang, Huimin Analytic twists of \(\mathrm{GL}_2 \times \mathrm{GL}_2\) automorphic forms. (English) Zbl 07747117 Math. Nachr. 296, No. 6, 2366-2394 (2023). MSC: 11F30 11L07 11F66 11M41 PDF BibTeX XML Cite \textit{B. Huang} et al., Math. Nachr. 296, No. 6, 2366--2394 (2023; Zbl 07747117) Full Text: DOI arXiv
Stacy, Emerald Totally \(p\)-adic numbers of small height in an abelian extension of \(\mathbb{Q}\). (English) Zbl 07746704 Matematica 2, No. 3, 583-592 (2023). MSC: 11R06 11R04 11R54 PDF BibTeX XML Cite \textit{E. Stacy}, Matematica 2, No. 3, 583--592 (2023; Zbl 07746704) Full Text: DOI
Cimpoeaş, Mircea; Radu, Alexandru Florin On the monoid algebra associated to the monomial characters of a finite group. (English) Zbl 07745966 Quaest. Math. 46, No. 10, 2065-2078 (2023). MSC: 20C15 13P10 11R42 PDF BibTeX XML Cite \textit{M. Cimpoeaş} and \textit{A. F. Radu}, Quaest. Math. 46, No. 10, 2065--2078 (2023; Zbl 07745966) Full Text: DOI arXiv
Lao, H.; Zhu, H. On the asymptotics of coefficients of Rankin-Selberg \(L\)-functions. (English) Zbl 07745821 Acta Math. Hung. 170, No. 2, 524-550 (2023). MSC: 11F30 11F11 11F66 PDF BibTeX XML Cite \textit{H. Lao} and \textit{H. Zhu}, Acta Math. Hung. 170, No. 2, 524--550 (2023; Zbl 07745821) Full Text: DOI
Zudilin, Wadim Analytic methods in number theory. When complex numbers count. (English) Zbl 07745806 Monographs in Number Theory 11. Singapore: World Scientific (ISBN 978-981-12-7931-7/hbk; 978-981-12-7933-1/ebook). (2023). MSC: 11-02 11Mxx PDF BibTeX XML Full Text: DOI
Ghosh, Aritra Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums. (English) Zbl 07743414 Ramanujan J. 62, No. 2, 551-569 (2023). MSC: 11F66 11F30 11F55 11M41 PDF BibTeX XML Cite \textit{A. Ghosh}, Ramanujan J. 62, No. 2, 551--569 (2023; Zbl 07743414) Full Text: DOI arXiv
Raji, Wissam Non-vanishing of derivatives of L-functions associated to cusp forms of half-integral weight in the plus space. (English) Zbl 07743412 Ramanujan J. 62, No. 2, 533-543 (2023). MSC: 11F11 11M41 PDF BibTeX XML Cite \textit{W. Raji}, Ramanujan J. 62, No. 2, 533--543 (2023; Zbl 07743412) Full Text: DOI
Andrade, J. C.; Best, C. G. Random matrix theory and moments of moments of \(L\)-functions. (English) Zbl 07742203 Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023). Reviewer: Weiping Li (Guanghan) MSC: 60B20 11M06 11M50 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{C. G. Best}, Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023; Zbl 07742203) Full Text: DOI arXiv
Dokchitser, Vladimir; Maistret, Céline On the parity conjecture for abelian surfaces. (English) Zbl 07740477 Proc. Lond. Math. Soc. (3) 127, No. 2, 295-365 (2023). MSC: 11G40 11G10 14K15 11G30 PDF BibTeX XML Cite \textit{V. Dokchitser} and \textit{C. Maistret}, Proc. Lond. Math. Soc. (3) 127, No. 2, 295--365 (2023; Zbl 07740477) Full Text: DOI OA License
Matsuzuki, Daichi On \(\infty\)-adic and \(v\)-adic multiple zeta functions in positive characteristic. (English) Zbl 07739867 Int. J. Number Theory 19, No. 9, 2263-2298 (2023). MSC: 11M38 11T55 PDF BibTeX XML Cite \textit{D. Matsuzuki}, Int. J. Number Theory 19, No. 9, 2263--2298 (2023; Zbl 07739867) Full Text: DOI arXiv
Ganguly, Satadal; Sandeep, E. M. Zero-free regions for spectral averages of Hecke \(L\)-functions. (English) Zbl 07739861 Int. J. Number Theory 19, No. 9, 2151-2162 (2023). MSC: 11F11 11F66 11L07 PDF BibTeX XML Cite \textit{S. Ganguly} and \textit{E. M. Sandeep}, Int. J. Number Theory 19, No. 9, 2151--2162 (2023; Zbl 07739861) Full Text: DOI
Kim, Chan-Ho; Longo, Matteo An explicit comparison of anticyclotomic \(p\)-adic \(L\)-functions for Hida families. (English) Zbl 07739854 Int. J. Number Theory 19, No. 9, 2021-2050 (2023). MSC: 11G18 11G40 11R52 PDF BibTeX XML Cite \textit{C.-H. Kim} and \textit{M. Longo}, Int. J. Number Theory 19, No. 9, 2021--2050 (2023; Zbl 07739854) Full Text: DOI arXiv
Zywina, David The inverse Galois problem for orthogonal groups. (English) Zbl 07739842 Trans. Am. Math. Soc., Ser. B 10, 1173-1211 (2023). MSC: 12F12 14J27 11G05 11G40 PDF BibTeX XML Cite \textit{D. Zywina}, Trans. Am. Math. Soc., Ser. B 10, 1173--1211 (2023; Zbl 07739842) Full Text: DOI
Asada, Megumi; Chen, Ryan C.; Fourakis, Eva; Kim, Yujin Hong; Kwon, Andrew; Lichtman, Jared Duker; Mackall, Blake; Miller, Steven J.; Winsor, Eric; Winsor, Karl; Yang, Jianing; Yang, Kevin Lower-order biases in the second moment of Dirichlet coefficients in families of \(L\)-functions. (English) Zbl 07739745 Exp. Math. 32, No. 3, 431-456 (2023). MSC: 11G40 11G05 11K31 60B10 65Q30 PDF BibTeX XML Cite \textit{M. Asada} et al., Exp. Math. 32, No. 3, 431--456 (2023; Zbl 07739745) Full Text: DOI arXiv
Rojas-León, Antonio An effective criterion for finite monodromy of \(\ell\)-adic sheaves. (English) Zbl 07739297 Vietnam J. Math. 51, No. 3, 703-713 (2023). MSC: 14F20 11S40 19F27 PDF BibTeX XML Cite \textit{A. Rojas-León}, Vietnam J. Math. 51, No. 3, 703--713 (2023; Zbl 07739297) Full Text: DOI arXiv
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On a divisor problem related to a certain Dedekind zeta-function. (English) Zbl 07738499 J. Ramanujan Math. Soc. 38, No. 2, 183-194 (2023). MSC: 11N37 11F66 11F30 11R42 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, J. Ramanujan Math. Soc. 38, No. 2, 183--194 (2023; Zbl 07738499) Full Text: Link
Yu, Hoseog On the order of Tate-Shafarevich groups over finite Galois extensions. (English) Zbl 07738498 J. Ramanujan Math. Soc. 38, No. 2, 177-182 (2023). MSC: 11G40 14G10 PDF BibTeX XML Cite \textit{H. Yu}, J. Ramanujan Math. Soc. 38, No. 2, 177--182 (2023; Zbl 07738498) Full Text: Link
Lalín, Matilde; Nair, Siva Sankar An invariant property of Mahler measure. (English) Zbl 07738042 Bull. Lond. Math. Soc. 55, No. 3, 1129-1142 (2023). MSC: 11R06 11M06 11R42 PDF BibTeX XML Cite \textit{M. Lalín} and \textit{S. S. Nair}, Bull. Lond. Math. Soc. 55, No. 3, 1129--1142 (2023; Zbl 07738042) Full Text: DOI arXiv
Zhang, Ningchuan Borel’s rank theorem for Artin \(L\)-functions. (English) Zbl 1520.19008 Proc. Am. Math. Soc. 151, No. 11, 4621-4632 (2023). MSC: 19F27 55P62 55P91 PDF BibTeX XML Cite \textit{N. Zhang}, Proc. Am. Math. Soc. 151, No. 11, 4621--4632 (2023; Zbl 1520.19008) Full Text: DOI arXiv
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija Corrigendum to: “The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields”. (English) Zbl 07734968 J. Number Theory 253, 109-113 (2023). MSC: 11M38 11T06 11M50 14G10 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., J. Number Theory 253, 109--113 (2023; Zbl 07734968) Full Text: DOI
Nunes, Ramon M. Spectral reciprocity via integral representations. (English) Zbl 07734826 Algebra Number Theory 17, No. 8, 1381-1409 (2023). Reviewer: Hongjie Yu (Rehovot ) MSC: 11F03 11F66 11F70 PDF BibTeX XML Cite \textit{R. M. Nunes}, Algebra Number Theory 17, No. 8, 1381--1409 (2023; Zbl 07734826) Full Text: DOI arXiv
Katayama, Yuta Hecke \(L\)-functions of certain subextensions in an extraspecial extension. (English) Zbl 07733546 SUT J. Math. 59, No. 1, 1-10 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11R20 11R32 PDF BibTeX XML Cite \textit{Y. Katayama}, SUT J. Math. 59, No. 1, 1--10 (2023; Zbl 07733546) Full Text: DOI
Mine, Masahiro Large deviations for values of \(L\)-functions attached to cusp forms in the level aspect. (English) Zbl 07733419 J. Math. Soc. Japan 75, No. 3, 941-981 (2023). MSC: 11F66 60F10 PDF BibTeX XML Cite \textit{M. Mine}, J. Math. Soc. Japan 75, No. 3, 941--981 (2023; Zbl 07733419) Full Text: DOI arXiv Link
Jiang, Dihua Automorphic descents. (English) Zbl 1522.11042 Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 285-314 (2023). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{D. Jiang}, in: Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao's birth. Singapore: World Scientific. 285--314 (2023; Zbl 1522.11042) Full Text: DOI
Bootsma, Sven; Tafazolian, Saeed; Top, Jaap Maximal curves and Tate-Shafarevich results for quartic and sextic twists. (English) Zbl 1519.14024 Finite Fields Appl. 91, Article ID 102256, 13 p. (2023). MSC: 14G15 11G20 11M38 14H25 PDF BibTeX XML Cite \textit{S. Bootsma} et al., Finite Fields Appl. 91, Article ID 102256, 13 p. (2023; Zbl 1519.14024) Full Text: DOI
Petrow, Ian; Young, Matthew P. The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound. (English) Zbl 07732798 Duke Math. J. 172, No. 10, 1879-1960 (2023). MSC: 11M06 11F11 11F12 11F66 PDF BibTeX XML Cite \textit{I. Petrow} and \textit{M. P. Young}, Duke Math. J. 172, No. 10, 1879--1960 (2023; Zbl 07732798) Full Text: DOI arXiv Link
Atsuta, Mahiro; Kataoka, Takenori On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\). (English) Zbl 07732795 Doc. Math. 28, No. 2, 419-511 (2023). MSC: 11R42 11R29 PDF BibTeX XML Cite \textit{M. Atsuta} and \textit{T. Kataoka}, Doc. Math. 28, No. 2, 419--511 (2023; Zbl 07732795) Full Text: DOI arXiv
Bullach, Dominik; Hofer, Martin The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields. (English) Zbl 07732794 Doc. Math. 28, No. 2, 369-418 (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R42 11R23 11R29 PDF BibTeX XML Cite \textit{D. Bullach} and \textit{M. Hofer}, Doc. Math. 28, No. 2, 369--418 (2023; Zbl 07732794) Full Text: DOI arXiv
Morin, Adrien Tori over number fields and special values at \(s = 1\). (English) Zbl 07732791 Doc. Math. 28, No. 1, 173-260 (2023). MSC: 14F20 18E30 11G40 14G10 14F42 PDF BibTeX XML Cite \textit{A. Morin}, Doc. Math. 28, No. 1, 173--260 (2023; Zbl 07732791) Full Text: DOI arXiv
Rivero, Óscar Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture. (English) Zbl 07732789 Doc. Math. 28, No. 1, 105-131 (2023). MSC: 11F67 11S40 19F27 PDF BibTeX XML Cite \textit{Ó. Rivero}, Doc. Math. 28, No. 1, 105--131 (2023; Zbl 07732789) Full Text: DOI
Bellotti, Chiara; Puglisi, Giuseppe Elementary methods in the study of the Deuring-Heilbronn phenomenon. (English) Zbl 07732770 Acta Arith. 208, No. 3, 257-277 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M20 PDF BibTeX XML Cite \textit{C. Bellotti} and \textit{G. Puglisi}, Acta Arith. 208, No. 3, 257--277 (2023; Zbl 07732770) Full Text: DOI arXiv
Meisner, Patrick Moments of traces of Frobenius of higher order Dirichlet \(L\)-functions over \(\mathbb{F}_q[T]\). (English) Zbl 07732763 Acta Arith. 208, No. 2, 127-159 (2023). MSC: 11M26 11M38 11M50 PDF BibTeX XML Cite \textit{P. Meisner}, Acta Arith. 208, No. 2, 127--159 (2023; Zbl 07732763) Full Text: DOI arXiv
Liu, Baiying; Xu, Bin Automorphic descent for symplectic groups: the branching problems and \(L\)-functions. (English) Zbl 07732007 Am. J. Math. 145, No. 3, 807-859 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E50 22E55 11F67 PDF BibTeX XML Cite \textit{B. Liu} and \textit{B. Xu}, Am. J. Math. 145, No. 3, 807--859 (2023; Zbl 07732007) Full Text: DOI
Entin, Alexei; Pirani, Noam Local statistics for zeros of Artin-Schreier \(L\)-functions. (English) Zbl 07731983 Trans. Am. Math. Soc. 376, No. 9, 6141-6175 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R59 11M50 11T55 PDF BibTeX XML Cite \textit{A. Entin} and \textit{N. Pirani}, Trans. Am. Math. Soc. 376, No. 9, 6141--6175 (2023; Zbl 07731983) Full Text: DOI arXiv
Bullach, Dominik; Burns, David; Sano, Takamichi On \(p\)-adic families of special elements for rank-one motives. (English) Zbl 07731959 Trans. Am. Math. Soc. 376, No. 8, 5377-5407 (2023). MSC: 11G40 11R23 PDF BibTeX XML Cite \textit{D. Bullach} et al., Trans. Am. Math. Soc. 376, No. 8, 5377--5407 (2023; Zbl 07731959) Full Text: DOI arXiv
Salch, Andrew Denominators of special values of \(\zeta\)-functions count \(KU\)-local homotopy groups of mod \(p\) Moore spectra. (English) Zbl 07731155 Rocky Mt. J. Math. 53, No. 3, 915-935 (2023). MSC: 11M06 11R42 55Q10 55Q45 55Q51 PDF BibTeX XML Cite \textit{A. Salch}, Rocky Mt. J. Math. 53, No. 3, 915--935 (2023; Zbl 07731155) Full Text: DOI arXiv Link
Cheng, Miranda C. N.; Duncan, John F. R.; Mertens, Michael H. Class numbers, cyclic simple groups, and arithmetic. (English) Zbl 07731120 J. Lond. Math. Soc., II. Ser. 108, No. 1, 238-272 (2023). MSC: 11F22 11F37 11F50 11G05 11G40 PDF BibTeX XML Cite \textit{M. C. N. Cheng} et al., J. Lond. Math. Soc., II. Ser. 108, No. 1, 238--272 (2023; Zbl 07731120) Full Text: DOI arXiv
Mináč, Ján; Nguyen, Tung T.; Tân, Nguyễn Duy Further insights into the mysteries of the values of zeta functions at integers. (English) Zbl 07729718 Math. Slovaca 73, No. 4, 887-910 (2023). MSC: 11M35 11M06 11B68 PDF BibTeX XML Cite \textit{J. Mináč} et al., Math. Slovaca 73, No. 4, 887--910 (2023; Zbl 07729718) Full Text: DOI arXiv
Kaplan, Eyal Rankin-Selberg integrals and \(L\)-functions for covering groups of general linear groups. (English) Zbl 07727478 Int. Math. Res. Not. 2023, No. 15, 13332-13386 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{E. Kaplan}, Int. Math. Res. Not. 2023, No. 15, 13332--13386 (2023; Zbl 07727478) Full Text: DOI
Lichtenbaum, Stephen; Ramachandran, Niranjan Values of zeta functions of arithmetic surfaces at \(s=1\). (English) Zbl 07727455 J. Inst. Math. Jussieu 22, No. 5, 2455-2496 (2023). MSC: 11G40 14G10 19F27 PDF BibTeX XML Cite \textit{S. Lichtenbaum} and \textit{N. Ramachandran}, J. Inst. Math. Jussieu 22, No. 5, 2455--2496 (2023; Zbl 07727455) Full Text: DOI arXiv
Wang, Haining Indivisibility of Heegner cycles over Shimura curves and Selmer groups. (English) Zbl 07727450 J. Inst. Math. Jussieu 22, No. 5, 2297-2336 (2023). MSC: 11G40 11G18 PDF BibTeX XML Cite \textit{H. Wang}, J. Inst. Math. Jussieu 22, No. 5, 2297--2336 (2023; Zbl 07727450) Full Text: DOI arXiv
Disegni, Daniel The \(p\)-adic Gross-Zagier formula on Shimura curves. II: Nonsplit primes. (English) Zbl 07727448 J. Inst. Math. Jussieu 22, No. 5, 2199-2240 (2023). MSC: 11G40 11F33 PDF BibTeX XML Cite \textit{D. Disegni}, J. Inst. Math. Jussieu 22, No. 5, 2199--2240 (2023; Zbl 07727448) Full Text: DOI arXiv
Khan, Rizwanur; Young, Matthew P. Moments and hybrid subconvexity for symmetric-square \(L\)-functions. (English) Zbl 07727442 J. Inst. Math. Jussieu 22, No. 5, 2029-2073 (2023). MSC: 11M41 11F12 58J51 PDF BibTeX XML Cite \textit{R. Khan} and \textit{M. P. Young}, J. Inst. Math. Jussieu 22, No. 5, 2029--2073 (2023; Zbl 07727442) Full Text: DOI arXiv
Cerone, Pietro; Dragomir, Silvestru Sever Inequalities for Lerch transcendent function. (English) Zbl 1517.26017 Tamkang J. Math. 54, No. 2, 175-191 (2023). MSC: 26D15 11M38 11M41 PDF BibTeX XML Cite \textit{P. Cerone} and \textit{S. S. Dragomir}, Tamkang J. Math. 54, No. 2, 175--191 (2023; Zbl 1517.26017) Full Text: DOI
Krishnamoorthy, Srilakshmi The Eisenstein and winding elements of modular symbols for odd square-free level. (English) Zbl 1517.11051 Indian J. Pure Appl. Math. 54, No. 3, 713-724 (2023). MSC: 11F67 11F11 11F20 11F30 PDF BibTeX XML Cite \textit{S. Krishnamoorthy}, Indian J. Pure Appl. Math. 54, No. 3, 713--724 (2023; Zbl 1517.11051) Full Text: DOI arXiv
Goldston, Daniel A.; Trudgian, Timothy S.; Turnage-Butterbaugh, Caroline L. On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function. (English) Zbl 07723328 J. Math. Anal. Appl. 527, No. 2, Article ID 127548, 7 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M26 11M06 11M20 11R29 11R42 PDF BibTeX XML Cite \textit{D. A. Goldston} et al., J. Math. Anal. Appl. 527, No. 2, Article ID 127548, 7 p. (2023; Zbl 07723328) Full Text: DOI arXiv
Çiperiani, Mirela Supersingular elliptic curves over \(\mathbb{Z}_p\)-extensions. (English) Zbl 07723220 J. Reine Angew. Math. 801, 45-56 (2023). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11R23 11G40 14H52 PDF BibTeX XML Cite \textit{M. Çiperiani}, J. Reine Angew. Math. 801, 45--56 (2023; Zbl 07723220) Full Text: DOI
Petersen, Kathleen L.; Sinclair, Christopher D. Equidistribution of elements of norm 1 in cyclic extensions. (English) Zbl 07722745 Publ. Math. Debr. 103, No. 1-2, 215-223 (2023). MSC: 11K36 11R42 11R04 11R27 PDF BibTeX XML Cite \textit{K. L. Petersen} and \textit{C. D. Sinclair}, Publ. Math. Debr. 103, No. 1--2, 215--223 (2023; Zbl 07722745) Full Text: DOI arXiv
Espinosa, Malors Zeta functions of certain quadratic orders. (English) Zbl 07722274 J. Number Theory 252, 379-404 (2023). Reviewer: Denis Ibadula (Constanța) MSC: 11F70 11F72 11S40 11S45 PDF BibTeX XML Cite \textit{M. Espinosa}, J. Number Theory 252, 379--404 (2023; Zbl 07722274) Full Text: DOI
Kim, Jiseong On the Rankin-Selberg problem in families. (English) Zbl 07722272 J. Number Theory 252, 298-325 (2023). MSC: 11F25 11F66 11N37 11N25 11N36 PDF BibTeX XML Cite \textit{J. Kim}, J. Number Theory 252, 298--325 (2023; Zbl 07722272) Full Text: DOI arXiv
Diaconu, Adrian; Twiss, Henry Secondary terms in the asymptotics of moments of \(L\)-functions. (English) Zbl 07722271 J. Number Theory 252, 243-297 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M32 11R58 PDF BibTeX XML Cite \textit{A. Diaconu} and \textit{H. Twiss}, J. Number Theory 252, 243--297 (2023; Zbl 07722271) Full Text: DOI arXiv
Gao, Peng; Zhao, Liangyi First moment of central values of quadratic Hecke \(L\)-functions in the Gaussian field. (English) Zbl 07720855 Int. J. Number Theory 19, No. 7, 1621-1637 (2023). MSC: 11M06 11M41 11N37 11L05 11L40 11R11 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, Int. J. Number Theory 19, No. 7, 1621--1637 (2023; Zbl 07720855) Full Text: DOI arXiv
Xue, Hui Rankin-Cohen brackets of Eisenstein series. (English) Zbl 07720852 Int. J. Number Theory 19, No. 7, 1563-1570 (2023). Reviewer: Martin Raum (Gothenburg) MSC: 11F67 PDF BibTeX XML Cite \textit{H. Xue}, Int. J. Number Theory 19, No. 7, 1563--1570 (2023; Zbl 07720852) Full Text: DOI
Mine, Masahiro The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect. (English) Zbl 07720772 Math. Z. 304, No. 4, Paper No. 64, 54 p. (2023). MSC: 11R42 11R16 PDF BibTeX XML Cite \textit{M. Mine}, Math. Z. 304, No. 4, Paper No. 64, 54 p. (2023; Zbl 07720772) Full Text: DOI arXiv
Balkanova, Olga; Frolenkov, Dmitry An explicit formula for the second moment of Maass form symmetric square \(L\)-functions. (English) Zbl 07720473 Publ. Mat., Barc. 67, No. 2, 611-660 (2023). MSC: 11M41 11F72 11F30 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, Publ. Mat., Barc. 67, No. 2, 611--660 (2023; Zbl 07720473) Full Text: DOI
Kim, Henry H. Almost all Fourier coefficients of symmetric power \(L\)-functions are small. (English) Zbl 07720204 Funct. Approximatio, Comment. Math. 68, No. 2, 249-255 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11R42 11M41 PDF BibTeX XML Cite \textit{H. H. Kim}, Funct. Approximatio, Comment. Math. 68, No. 2, 249--255 (2023; Zbl 07720204) Full Text: DOI