Kramer-Miller, Joe Some unlikely intersections between the Torelli locus and Newton strata in \(\mathcal{A}_g\). (English. French summary) Zbl 07359136 J. Théor. Nombres Bordx. 33, No. 1, 237-250 (2021). MSC: 11G20 11M38 14K10 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, J. Théor. Nombres Bordx. 33, No. 1, 237--250 (2021; Zbl 07359136) Full Text: DOI
Gao, Peng; Zhao, Liangyi Moments and one level density of certain unitary families of Hecke \(L\)-functions. (English. French summary) Zbl 07359126 J. Théor. Nombres Bordx. 33, No. 1, 1-16 (2021). MSC: 11M41 11L40 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, J. Théor. Nombres Bordx. 33, No. 1, 1--16 (2021; Zbl 07359126) Full Text: DOI
Shen, Quanli The fourth moment of quadratic Dirichlet \(L\)-functions. (English) Zbl 07357495 Math. Z. 298, No. 1-2, 713-745 (2021). MSC: 11M06 11M50 PDF BibTeX XML Cite \textit{Q. Shen}, Math. Z. 298, No. 1--2, 713--745 (2021; Zbl 07357495) Full Text: DOI
Topacogullari, Berke The fourth moment of individual Dirichlet \(L\)-functions on the critical line. (English) Zbl 07357489 Math. Z. 298, No. 1-2, 577-624 (2021). MSC: 11M06 PDF BibTeX XML Cite \textit{B. Topacogullari}, Math. Z. 298, No. 1--2, 577--624 (2021; Zbl 07357489) Full Text: DOI
Diaconu, Adrian; Whitehead, Ian On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case. (English) Zbl 07357367 J. Eur. Math. Soc. (JEMS) 23, No. 6, 2051-2070 (2021). MSC: 11M06 11M32 PDF BibTeX XML Cite \textit{A. Diaconu} and \textit{I. Whitehead}, J. Eur. Math. Soc. (JEMS) 23, No. 6, 2051--2070 (2021; Zbl 07357367) Full Text: DOI
Lin, Yongxiao Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 07357364 J. Eur. Math. Soc. (JEMS) 23, No. 6, 1899-1924 (2021). MSC: 11F66 11F55 11M41 PDF BibTeX XML Cite \textit{Y. Lin}, J. Eur. Math. Soc. (JEMS) 23, No. 6, 1899--1924 (2021; Zbl 07357364) Full Text: DOI
Balkanova, Olga; Frolenkov, Dmitry Moments of \(L\)-functions and the Liouville-Green method. (English) Zbl 07357351 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333-1380 (2021). MSC: 11F12 34E20 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333--1380 (2021; Zbl 07357351) Full Text: DOI
Andrade, Julio; Shamesaldeen, Asmaa The moments and statistical distribution of class number of primes over function fields. (English) Zbl 07357320 Finite Fields Appl. 73, Article ID 101845, 32 p. (2021). MSC: 11M38 11M06 11G20 11M50 14G10 PDF BibTeX XML Cite \textit{J. Andrade} and \textit{A. Shamesaldeen}, Finite Fields Appl. 73, Article ID 101845, 32 p. (2021; Zbl 07357320) Full Text: DOI
Benmerieme, Y.; Movahhedi, A. Multi-quadratic \(p\)-rational number fields. (English) Zbl 07357197 J. Pure Appl. Algebra 225, No. 9, Article ID 106657, 17 p. (2021). MSC: 11R23 11R32 11R42 PDF BibTeX XML Cite \textit{Y. Benmerieme} and \textit{A. Movahhedi}, J. Pure Appl. Algebra 225, No. 9, Article ID 106657, 17 p. (2021; Zbl 07357197) Full Text: DOI
Alvarenga, Roberto \(p\)-adic wan-Riemann hypothesis for \(\mathbb{Z}_p\)-towers of curves. (English) Zbl 07357160 J. Pure Appl. Algebra 225, No. 11, Article ID 106743, 10 p. (2021). MSC: 11G20 11S40 11R23 PDF BibTeX XML Cite \textit{R. Alvarenga}, J. Pure Appl. Algebra 225, No. 11, Article ID 106743, 10 p. (2021; Zbl 07357160) Full Text: DOI
Geisser, Thomas H. Tate’s conjecture and the Tate-Shafarevich group over global function fields. (English) Zbl 07357059 J. Inst. Math. Jussieu 20, No. 3, 1001-1022 (2021). MSC: 11G40 14G17 14J20 11G25 11G35 PDF BibTeX XML Cite \textit{T. H. Geisser}, J. Inst. Math. Jussieu 20, No. 3, 1001--1022 (2021; Zbl 07357059) Full Text: DOI
Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. (English) Zbl 07356698 Forum Math. Sigma 9, Paper No. e40, 47 p. (2021). MSC: 11G55 11R70 19F27 19D45 11R42 20H20 51M20 PDF BibTeX XML Cite \textit{D. Burns} et al., Forum Math. Sigma 9, Paper No. e40, 47 p. (2021; Zbl 07356698) Full Text: DOI
Shu, Jie Root numbers for the Jacobian varieties of Fermat curves. (English) Zbl 07356690 J. Number Theory 226, 243-270 (2021). MSC: 11 PDF BibTeX XML Cite \textit{J. Shu}, J. Number Theory 226, 243--270 (2021; Zbl 07356690) Full Text: DOI
Zhang, Wei Weil representation and arithmetic fundamental lemma. (English) Zbl 07353244 Ann. Math. (2) 193, No. 3, 863-978 (2021). MSC: 11F27 11F67 11G40 14C25 14G35 PDF BibTeX XML Cite \textit{W. Zhang}, Ann. Math. (2) 193, No. 3, 863--978 (2021; Zbl 07353244) Full Text: DOI
Mueller, Julia; Shahidi, Freydoon The genesis of the Langlands program (to appear). (English) Zbl 07352491 London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press (ISBN 978-1-108-71094-7/pbk). (2021). MSC: 11-02 22-02 11F66 11R39 11S37 22Exx PDF BibTeX XML
Djanković, Goran; Đokić, Dragan; Lelas, Nikola The triple reciprocity law for the twisted second moments of Dirichlet \(L\)-functions over function fields. (English) Zbl 07352287 Proc. Am. Math. Soc. 149, No. 7, 2851-2860 (2021). MSC: 11M38 11T06 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., Proc. Am. Math. Soc. 149, No. 7, 2851--2860 (2021; Zbl 07352287) Full Text: DOI
Burungale, Ashay A.; Disegni, Daniel On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions. (Sur la non-annulation des hauteurs \(p\)-adiques sur les variétés abéliennes CM, et l’arithmétique des fonctions \(L p\)-adiques de Katz.) (English. French summary) Zbl 07351884 Ann. Inst. Fourier 70, No. 5, 2077-2101 (2021). MSC: 11G50 11G10 11G40 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{D. Disegni}, Ann. Inst. Fourier 70, No. 5, 2077--2101 (2021; Zbl 07351884) Full Text: DOI
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 07349957 Acta Arith. 198, No. 3, 233-256 (2021). MSC: 11R42 11M20 11R11 11R16 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 07349957) Full Text: DOI
Samart, Detchat A functional identity for Mahler measures of non-tempered polynomials. (English) Zbl 07347157 Integral Transforms Spec. Funct. 32, No. 1, 78-89 (2021). MSC: 11R06 11F67 11G05 33C75 33E05 PDF BibTeX XML Cite \textit{D. Samart}, Integral Transforms Spec. Funct. 32, No. 1, 78--89 (2021; Zbl 07347157) Full Text: DOI
Guo, Xuejun; Peng, Yuzhen; Qin, Hourong Three-variable Mahler measures and special values of \(L\)-functions of modular forms. (English) Zbl 07345304 Ramanujan J. 54, No. 1, 147-175 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11F67 11M06 33C20 PDF BibTeX XML Cite \textit{X. Guo} et al., Ramanujan J. 54, No. 1, 147--175 (2021; Zbl 07345304) Full Text: DOI
Acharya, Ratnadeep; Singh, Saurabh Kumar An exponential sum involving Fourier coefficients of eigenforms for \(SL(2,\mathbb{Z})\). (English) Zbl 07344953 Ramanujan J. 54, No. 3, 699-716 (2021). MSC: 11L20 11F30 11F66 PDF BibTeX XML Cite \textit{R. Acharya} and \textit{S. K. Singh}, Ramanujan J. 54, No. 3, 699--716 (2021; Zbl 07344953) Full Text: DOI
Guerzhoy, P.; Wong, Ka Lun Farkas’ identities with quartic characters. (English) Zbl 07344952 Ramanujan J. 54, No. 3, 679-697 (2021). MSC: 11F11 11A25 PDF BibTeX XML Cite \textit{P. Guerzhoy} and \textit{K. L. Wong}, Ramanujan J. 54, No. 3, 679--697 (2021; Zbl 07344952) Full Text: DOI
Lalín, Matilde; Wu, Gang The Mahler measure of a genus 3 family. (English) Zbl 07344936 Ramanujan J. 55, No. 1, 309-326 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11G05 11F66 19F27 33E05 PDF BibTeX XML Cite \textit{M. Lalín} and \textit{G. Wu}, Ramanujan J. 55, No. 1, 309--326 (2021; Zbl 07344936) Full Text: DOI
Huang, Bingrong Hybrid subconvexity bounds for twisted \(L\)-functions on GL(3). (English) Zbl 07344713 Sci. China, Math. 64, No. 3, 443-478 (2021). MSC: 11F66 11F67 11M41 PDF BibTeX XML Cite \textit{B. Huang}, Sci. China, Math. 64, No. 3, 443--478 (2021; Zbl 07344713) Full Text: DOI
Chen, Yen-Tsung; Harada, Ryotaro On lower bounds of the dimensions of multizeta values in positive characteristic. (English) Zbl 07343513 Doc. Math. 26, 537-559 (2021). MSC: 11M38 11J72 11J93 PDF BibTeX XML Cite \textit{Y.-T. Chen} and \textit{R. Harada}, Doc. Math. 26, 537--559 (2021; Zbl 07343513) Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul; Mishra, Mohit On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\). (English) Zbl 07341611 Ann. Math. Qué. 45, No. 1, 203-212 (2021). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R42 11R11 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Ann. Math. Qué. 45, No. 1, 203--212 (2021; Zbl 07341611) Full Text: DOI
Balkanova, Olga; Frolenkov, Dmitry Non-vanishing of Maass form symmetric square \(L\)-functions. (English) Zbl 07337432 J. Math. Anal. Appl. 500, No. 2, Article ID 125148, 23 p. (2021). MSC: 11F 81Q PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, J. Math. Anal. Appl. 500, No. 2, Article ID 125148, 23 p. (2021; Zbl 07337432) Full Text: DOI
Friedrichsen, Matthew; Keliher, Daniel Comparing the density of \(D_4\) and \(S_4\) quartic extensions of number fields. (English) Zbl 07337051 Proc. Am. Math. Soc. 149, No. 6, 2357-2369 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R42 11R29 11R45 PDF BibTeX XML Cite \textit{M. Friedrichsen} and \textit{D. Keliher}, Proc. Am. Math. Soc. 149, No. 6, 2357--2369 (2021; Zbl 07337051) Full Text: DOI
Hamieh, Alia; Raji, Wissam Non-vanishing of derivatives of \(L\)-functions of Hilbert modular forms in the critical strip. (English) Zbl 07336786 Res. Number Theory 7, No. 2, Paper No. 20, 11 p. (2021). MSC: 11F41 11F67 11F30 11F11 11F12 11N75 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{W. Raji}, Res. Number Theory 7, No. 2, Paper No. 20, 11 p. (2021; Zbl 07336786) Full Text: DOI
Lester, Stephen; Radziwiłł, Maksym Signs of Fourier coefficients of half-integral weight modular forms. (English) Zbl 07335457 Math. Ann. 379, No. 3-4, 1553-1604 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 PDF BibTeX XML Cite \textit{S. Lester} and \textit{M. Radziwiłł}, Math. Ann. 379, No. 3--4, 1553--1604 (2021; Zbl 07335457) Full Text: DOI
Chang, Chieh-Yu; Green, Nathan; Mishiba, Yoshinori Taylor coefficients of Anderson-Thakur series and explicit formulae. (English) Zbl 07335453 Math. Ann. 379, No. 3-4, 1425-1474 (2021). MSC: 11M38 11G09 PDF BibTeX XML Cite \textit{C.-Y. Chang} et al., Math. Ann. 379, No. 3--4, 1425--1474 (2021; Zbl 07335453) Full Text: DOI
Lee, Ethan S. On an explicit zero-free region for the Dedekind zeta-function. (English) Zbl 07334490 J. Number Theory 224, 307-322 (2021). MSC: 11R42 PDF BibTeX XML Cite \textit{E. S. Lee}, J. Number Theory 224, 307--322 (2021; Zbl 07334490) Full Text: DOI
Choi, Junhwa; Li, Yongxiong Quadratic twists of \(X_0(14)\). (English) Zbl 07334484 J. Number Theory 224, 142-164 (2021). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{J. Choi} and \textit{Y. Li}, J. Number Theory 224, 142--164 (2021; Zbl 07334484) Full Text: DOI
Bakić, Petar; Hanzer, Marcela Generic representations of metaplectic groups and their theta lifts. (English) Zbl 07333887 Math. Z. 297, No. 3-4, 1421-1465 (2021). MSC: 22E50 11F27 22E55 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{P. Bakić} and \textit{M. Hanzer}, Math. Z. 297, No. 3--4, 1421--1465 (2021; Zbl 07333887) Full Text: DOI
Bllaca, Kajtaz H.; Mazhouda, Kamel Centralized variant of the Li criterion on functions fields. (English) Zbl 07331804 Finite Fields Appl. 72, Article ID 101800, 18 p. (2021). MSC: 11M26 11M38 11G20 PDF BibTeX XML Cite \textit{K. H. Bllaca} and \textit{K. Mazhouda}, Finite Fields Appl. 72, Article ID 101800, 18 p. (2021; Zbl 07331804) Full Text: DOI
Delbourgo, Daniel; Gilmore, Hamish Computing \(\mathcal L\)-invariants for the symmetric square of an elliptic curve. (English) Zbl 07331271 Exp. Math. 30, No. 1, 32-55 (2021). MSC: 11R23 11E95 11G40 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Gilmore}, Exp. Math. 30, No. 1, 32--55 (2021; Zbl 07331271) Full Text: DOI
Dokchitser, Vladimir; Evans, Robert; Wiersema, Hanneke On a BSD-type formula for \(L\)-values of Artin twists of elliptic curves. (English) Zbl 07330975 J. Reine Angew. Math. 773, 199-230 (2021). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{V. Dokchitser} et al., J. Reine Angew. Math. 773, 199--230 (2021; Zbl 07330975) Full Text: DOI
Dixit, Anup B.; Mahatab, Kamalakshya Large values of \(L\)-functions on the 1-line. (English) Zbl 07330712 Bull. Aust. Math. Soc. 103, No. 2, 230-243 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11M41 11R42 PDF BibTeX XML Cite \textit{A. B. Dixit} and \textit{K. Mahatab}, Bull. Aust. Math. Soc. 103, No. 2, 230--243 (2021; Zbl 07330712) Full Text: DOI
Hahn, Heekyoung Poles of triple product \(L\)-functions involving monomial representations. (English) Zbl 07330417 Int. J. Number Theory 17, No. 2, 479-486 (2021). MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{H. Hahn}, Int. J. Number Theory 17, No. 2, 479--486 (2021; Zbl 07330417) Full Text: DOI
Chan, Tsz Ho The congruence equation \(\overline{a} + \overline{b} \equiv \overline{c} \pmod{p}\). (English) Zbl 07330409 Int. J. Number Theory 17, No. 2, 329-340 (2021). MSC: 11A07 11D45 11L05 11M06 PDF BibTeX XML Cite \textit{T. H. Chan}, Int. J. Number Theory 17, No. 2, 329--340 (2021; Zbl 07330409) Full Text: DOI
Simsek, Yilmaz New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. (English) Zbl 07330386 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021). MSC: 11B83 05A15 11B68 11B73 26C05 11S40 11S80 33B15 PDF BibTeX XML Cite \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021; Zbl 07330386) Full Text: DOI
Molina, Santiago Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields. (English) Zbl 07329232 J. Number Theory 223, 267-306 (2021). MSC: 11F85 11G40 11F67 11G18 11F33 PDF BibTeX XML Cite \textit{S. Molina}, J. Number Theory 223, 267--306 (2021; Zbl 07329232) Full Text: DOI
Bailey, E. C.; Keating, J. P. On the moments of the moments of \((\zeta(1/2+it)\). (English) Zbl 07329224 J. Number Theory 223, 79-100 (2021). MSC: 11 PDF BibTeX XML Cite \textit{E. C. Bailey} and \textit{J. P. Keating}, J. Number Theory 223, 79--100 (2021; Zbl 07329224) Full Text: DOI
Languasco, Alessandro Numerical verification of Littlewood’s bounds for \(|L(1,\chi)|\). (English) Zbl 07329220 J. Number Theory 223, 12-34 (2021). MSC: 11M20 33-04 11Y16 11Y99 33B15 PDF BibTeX XML Cite \textit{A. Languasco}, J. Number Theory 223, 12--34 (2021; Zbl 07329220) Full Text: DOI
Kıral, Eren Mehmet; Young, Matthew P. The fifth moment of modular \(L\)-functions. (English) Zbl 07328112 J. Eur. Math. Soc. (JEMS) 23, No. 1, 237-314 (2021). MSC: 11F66 11F72 11L05 PDF BibTeX XML Cite \textit{E. M. Kıral} and \textit{M. P. Young}, J. Eur. Math. Soc. (JEMS) 23, No. 1, 237--314 (2021; Zbl 07328112) Full Text: DOI
Tavares Ribeiro, Floric On the Stark units of Drinfeld modules. (English) Zbl 07326608 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). Lecture Notes in Mathematics 2275, 281-324 (2021). MSC: 11G09 11R58 11M38 PDF BibTeX XML Cite \textit{F. Tavares Ribeiro}, Lect. Notes Math. 2275, 281--324 (2021; Zbl 07326608) Full Text: DOI
Gu, Jarry; Lalín, Matilde The Mahler measure of a three-variable family and an application to the Boyd-Lawton formula. (English) Zbl 07326372 Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11G05 11R42 11M06 PDF BibTeX XML Cite \textit{J. Gu} and \textit{M. Lalín}, Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021; Zbl 07326372) Full Text: DOI
Andrade, J. C.; Macmillan, J. The first moment of \(L\bigl(\frac{1}{2},\chi\bigr)\) for real quadratic function fields. (English) Zbl 07324325 Acta Arith. 198, No. 1, 1-35 (2021). MSC: 11R59 11M38 11M06 11G20 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{J. Macmillan}, Acta Arith. 198, No. 1, 1--35 (2021; Zbl 07324325) Full Text: DOI
Sakellaridis, Yiannis Functorial transfer between relative trace formulas in rank \(1\). (English) Zbl 07322639 Duke Math. J. 170, No. 2, 279-364 (2021). Reviewer: Zhixiang Wu (Paris) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{Y. Sakellaridis}, Duke Math. J. 170, No. 2, 279--364 (2021; Zbl 07322639) Full Text: DOI Euclid
Cheng, Yao Special value formula for the twisted triple product \(L\)-function and an application to the restricted \(L^2\)-norm problem. (English) Zbl 07318793 Forum Math. 33, No. 1, 59-108 (2021). MSC: 11F67 11F41 PDF BibTeX XML Cite \textit{Y. Cheng}, Forum Math. 33, No. 1, 59--108 (2021; Zbl 07318793) Full Text: DOI
Bouganis, Thanasis On the standard L-function attached to quaternionic modular forms. (English) Zbl 07318740 J. Number Theory 222, 293-345 (2021). MSC: 11F55 11S40 11F27 11M36 PDF BibTeX XML Cite \textit{T. Bouganis}, J. Number Theory 222, 293--345 (2021; Zbl 07318740) Full Text: DOI
Chen, Guohua; He, Xiaoguang Lower bound for higher moments of the mixed product of twisted \(L\)-functions. (English) Zbl 07318736 J. Number Theory 222, 233-248 (2021). MSC: 11F11 11F66 PDF BibTeX XML Cite \textit{G. Chen} and \textit{X. He}, J. Number Theory 222, 233--248 (2021; Zbl 07318736) Full Text: DOI
Kim, Henry H. Minimal generators of the ideal class group. (English) Zbl 07318732 J. Number Theory 222, 157-167 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11R42 11M41 PDF BibTeX XML Cite \textit{H. H. Kim}, J. Number Theory 222, 157--167 (2021; Zbl 07318732) Full Text: DOI
Stasinski, Alexander A uniform proof of the finiteness of the class group of a global field. (English) Zbl 07315401 Am. Math. Mon. 128, No. 3, 239-249 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R42 13E15 PDF BibTeX XML Cite \textit{A. Stasinski}, Am. Math. Mon. 128, No. 3, 239--249 (2021; Zbl 07315401) Full Text: DOI
Wang, Shan Wen Le système d’Euler de Kato en famillie (II). (English) Zbl 07314983 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 PDF BibTeX XML Cite \textit{S. W. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 1, 173--204 (2021; Zbl 07314983) Full Text: DOI
Yang, En Lin; Zhao, Yi Geng On the relative twist formula of \(\ell\)-adic sheaves. (English) Zbl 1455.14040 Acta Math. Sin., Engl. Ser. 37, No. 1, 73-94 (2021). MSC: 14F20 11G25 11S40 PDF BibTeX XML Cite \textit{E. L. Yang} and \textit{Y. G. Zhao}, Acta Math. Sin., Engl. Ser. 37, No. 1, 73--94 (2021; Zbl 1455.14040) Full Text: DOI
Andrade, Julio Cesar; Yiasemides, Michael The fourth power mean of Dirichlet \(L\)-functions in \(\mathbb{F}_q [T]\). (English) Zbl 1454.11210 Rev. Mat. Complut. 34, No. 1, 239-296 (2021). MSC: 11R59 11M06 11M38 11M50 11N36 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{M. Yiasemides}, Rev. Mat. Complut. 34, No. 1, 239--296 (2021; Zbl 1454.11210) Full Text: DOI
Wu, Xiaoliang; Liu, Hang; Tang, Guoping Identities of Mahler measures of certain polynomials defining curves of arbitrary genus. (English) Zbl 07310645 J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R09 19F27 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021; Zbl 07310645) Full Text: DOI
Liu, Di; Zaharescu, Alexandru Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet \(L\)-functions. (English) Zbl 07309697 J. Math. Anal. Appl. 494, No. 1, Article ID 124591, 11 p. (2021). MSC: 11M26 11M06 PDF BibTeX XML Cite \textit{D. Liu} and \textit{A. Zaharescu}, J. Math. Anal. Appl. 494, No. 1, Article ID 124591, 11 p. (2021; Zbl 07309697) Full Text: DOI
Banerjee, Soumyarup Piltz divisor problem over number fields à la Voronoï. (English) Zbl 07308525 Proc. Am. Math. Soc. 149, No. 3, 1025-1038 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11R11 11S40 33C60 PDF BibTeX XML Cite \textit{S. Banerjee}, Proc. Am. Math. Soc. 149, No. 3, 1025--1038 (2021; Zbl 07308525) Full Text: DOI
Cho, Peter J.; Kim, Henry H. The smallest prime in a conjugacy class and the first sign change for automorphic \(L\)-functions. (English) Zbl 07308518 Proc. Am. Math. Soc. 149, No. 3, 923-933 (2021). MSC: 11N05 11R44 11R42 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{H. H. Kim}, Proc. Am. Math. Soc. 149, No. 3, 923--933 (2021; Zbl 07308518) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Exponential sums with multiplicative coefficients without the Ramanujan conjecture. (English) Zbl 07307520 Math. Ann. 379, No. 1-2, 589-632 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L07 11F30 11N36 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Math. Ann. 379, No. 1--2, 589--632 (2021; Zbl 07307520) Full Text: DOI
Xu, Bin Nonarchimedean components of non-endoscopic automorphic representations for quasisplit \(Sp(N)\) and \(O(N)\). (English) Zbl 07303598 Math. Z. 297, No. 1-2, 885-921 (2021). MSC: 22E50 11F70 22E50 22E55 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{B. Xu}, Math. Z. 297, No. 1--2, 885--921 (2021; Zbl 07303598) Full Text: DOI
Longo, Matteo; Pati, Maria Rosaria Generalized Heegner cycles on Mumford curves. (English) Zbl 07303583 Math. Z. 297, No. 1-2, 483-515 (2021). MSC: 11G40 11G35 11G15 11G05 PDF BibTeX XML Cite \textit{M. Longo} and \textit{M. R. Pati}, Math. Z. 297, No. 1--2, 483--515 (2021; Zbl 07303583) Full Text: DOI
Hamieh, Alia; Tanabe, Naomi Non-vanishing of Rankin-Selberg convolutions for Hilbert modular forms. (English) Zbl 07303565 Math. Z. 297, No. 1-2, 81-97 (2021). MSC: 11F41 11F67 11F30 11F11 11F12 11N75 11F70 11F66 11M41 22E50 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{N. Tanabe}, Math. Z. 297, No. 1--2, 81--97 (2021; Zbl 07303565) Full Text: DOI
Beneish, Lea; Mertens, Michael H. On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras. (English) Zbl 07303564 Math. Z. 297, No. 1-2, 59-80 (2021). MSC: 11F03 11F22 17B69 11F37 11G40 11G05 11F67 PDF BibTeX XML Cite \textit{L. Beneish} and \textit{M. H. Mertens}, Math. Z. 297, No. 1--2, 59--80 (2021; Zbl 07303564) Full Text: DOI
Pollack, Paul; Roy, Akash Singha Steps into analytic number theory. A problem-based introduction. (English) Zbl 1457.11002 Problem Books in Mathematics. Cham: Springer (ISBN 978-3-030-65076-6/hbk; 978-3-030-65077-3/ebook). xiii, 197 p. (2021). MSC: 11-01 11Mxx 00A07 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{A. S. Roy}, Steps into analytic number theory. A problem-based introduction. Cham: Springer (2021; Zbl 1457.11002) Full Text: DOI
Zinevičius, Albertas Non-sums of two cubes of algebraic integers. (English) Zbl 07301032 Colloq. Math. 163, No. 2, 285-293 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R04 11N37 11R42 PDF BibTeX XML Cite \textit{A. Zinevičius}, Colloq. Math. 163, No. 2, 285--293 (2021; Zbl 07301032) Full Text: DOI
Waxman, Ezra Lower order terms for the one-level density of a symplectic family of Hecke L-functions. (English) Zbl 07300441 J. Number Theory 221, 447-483 (2021). MSC: 11M26 11M50 11F66 11M41 PDF BibTeX XML Cite \textit{E. Waxman}, J. Number Theory 221, 447--483 (2021; Zbl 07300441) Full Text: DOI
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P. Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields. (English) Zbl 07300439 J. Number Theory 221, 389-423 (2021). MSC: 11R59 11M50 11M41 PDF BibTeX XML Cite \textit{H. M. Bui} et al., J. Number Theory 221, 389--423 (2021; Zbl 07300439) Full Text: DOI
Smit, Harry \(L\)-series and isomorphisms of number fields. (English) Zbl 07300436 J. Number Theory 221, 339-357 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R37 11R42 11M41 20C15 PDF BibTeX XML Cite \textit{H. Smit}, J. Number Theory 221, 339--357 (2021; Zbl 07300436) Full Text: DOI
Henniart, Guy; Lomelí, Luis Asai cube \(L\)-functions and the local Langlands correspondence. (English) Zbl 07300434 J. Number Theory 221, 247-269 (2021). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{G. Henniart} and \textit{L. Lomelí}, J. Number Theory 221, 247--269 (2021; Zbl 07300434) Full Text: DOI
Balkanova, Olga; Huang, Bingrong; Södergren, Anders Non-vanishing of Maass form \(L\)-functions at the central point. (English) Zbl 07299096 Proc. Am. Math. Soc. 149, No. 2, 509-523 (2021). MSC: 11F67 11F12 PDF BibTeX XML Cite \textit{O. Balkanova} et al., Proc. Am. Math. Soc. 149, No. 2, 509--523 (2021; Zbl 07299096) Full Text: DOI
Thorner, Jesse; Zaman, Asif An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 07298480 Adv. Math. 378, Article ID 107529, 25 p. (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F66 11F67 11M41 11R44 11F70 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Adv. Math. 378, Article ID 107529, 25 p. (2021; Zbl 07298480) Full Text: DOI
Mok, Chung Pang On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields. (English) Zbl 07291902 Trans. Am. Math. Soc. 374, No. 2, 1391-1419 (2021). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. P. Mok}, Trans. Am. Math. Soc. 374, No. 2, 1391--1419 (2021; Zbl 07291902) Full Text: DOI
Diamantis, Nikolaos; Rolen, Larry Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions. (English) Zbl 07291136 J. Reine Angew. Math. 770, 1-25 (2021). MSC: 11F67 11F11 11F12 PDF BibTeX XML Cite \textit{N. Diamantis} and \textit{L. Rolen}, J. Reine Angew. Math. 770, 1--25 (2021; Zbl 07291136) Full Text: DOI
Roy, Arindam; Vatwani, Akshaa Zeros of Dirichlet polynomials. (English) Zbl 07288867 Trans. Am. Math. Soc. 374, No. 1, 643-661 (2021). MSC: 11M41 11M26 11N64 PDF BibTeX XML Cite \textit{A. Roy} and \textit{A. Vatwani}, Trans. Am. Math. Soc. 374, No. 1, 643--661 (2021; Zbl 07288867) Full Text: DOI
Grbac, Neven; Schwermer, Joachim Eisenstein series for rank one unitary groups and some cohomological applications. (English) Zbl 1459.11128 Adv. Math. 376, Article ID 107438, 49 p. (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 11F75 11M36 PDF BibTeX XML Cite \textit{N. Grbac} and \textit{J. Schwermer}, Adv. Math. 376, Article ID 107438, 49 p. (2021; Zbl 1459.11128) Full Text: DOI
Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou Monomials of Eisenstein series. (English) Zbl 1456.11054 J. Number Theory 219, 445-459 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F03 11F67 PDF BibTeX XML Cite \textit{T. Griffin} et al., J. Number Theory 219, 445--459 (2021; Zbl 1456.11054) Full Text: DOI
Kirila, Scott Combinations of \(L\)-functions and their non-coincident zeros for \(\text{Re}(s) > 1\). (English) Zbl 07276954 J. Number Theory 219, 162-171 (2021). MSC: 11M41 11M26 11M35 PDF BibTeX XML Cite \textit{S. Kirila}, J. Number Theory 219, 162--171 (2021; Zbl 07276954) Full Text: DOI
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields. (English) Zbl 07257233 J. Number Theory 218, 334-369 (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M38 11T06 11M50 14G10 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., J. Number Theory 218, 334--369 (2021; Zbl 07257233) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Product formulas for periods of CM abelian varieties and the function field analog. (English) Zbl 07257222 J. Number Theory 218, 62-151 (2021). MSC: 11G09 11G15 11R42 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, J. Number Theory 218, 62--151 (2021; Zbl 07257222) Full Text: DOI
Watkins, Mark Comments on Deuring’s zero-spacing phenomenon. (English) Zbl 07257220 J. Number Theory 218, 1-43 (2021). MSC: 11M26 11M20 PDF BibTeX XML Cite \textit{M. Watkins}, J. Number Theory 218, 1--43 (2021; Zbl 07257220) Full Text: DOI
Lubotzky, Alexander; Parzanchevski, Ori From Ramanujan graphs to Ramanujan complexes. (English) Zbl 07359660 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2163, Article ID 20180445, 9 p. (2020). MSC: 05C50 11F66 20E42 22E35 81P68 PDF BibTeX XML Cite \textit{A. Lubotzky} and \textit{O. Parzanchevski}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2163, Article ID 20180445, 9 p. (2020; Zbl 07359660) Full Text: DOI
Li, Wen-Ching Winnie The Ramanujan conjecture and its applications. (English) Zbl 07359657 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2163, Article ID 20180441, 14 p. (2020). MSC: 11F11 05C50 11F66 11M41 81P68 PDF BibTeX XML Cite \textit{W.-C. W. Li}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2163, Article ID 20180441, 14 p. (2020; Zbl 07359657) Full Text: DOI
Hamahata, Yoshinori Values of Dirichlet-Goss series with periodic coefficients. (English) Zbl 07358946 Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De GruyterHoboken, NJ: John Wiley & Sons (ISBN 978-3-11-062123-5/hbk; 978-3-11-062173-0 /ebook). De Gruyter Proceedings in Mathematics, 11-24 (2020). MSC: 11J72 11M38 11M41 11R60 PDF BibTeX XML Cite \textit{Y. Hamahata}, in: Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3--7, 2019. Berlin: De GruyterHoboken, NJ: John Wiley \& Sons. 11--24 (2020; Zbl 07358946) Full Text: DOI
Brenner, Susanne C. (ed.); Shparlinski, Igor (ed.); Shu, Chi-Wang (ed.); Szyld, Daniel B. (ed.) 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. (English) Zbl 07351772 Contemporary Mathematics 754. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5163-9/pbk; 978-1-4704-5637-5/ebook). x, 364 p. (2020). MSC: 11-06 11Mxx 11Yxx 16Zxx 35Rxx 41Axx 65Fxx 65Mxx 65Nxx 00B25 00B30 PDF BibTeX XML Cite \textit{S. C. Brenner} (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1--3, 2018. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07351772) Full Text: DOI
Xu, Zhao The second moment of \(\mathrm{GL} (3) \times \mathrm{GL} (2)\) \(L\)-functions at special points from GL(3) forms. (English) Zbl 07350727 Front. Math. China 15, No. 5, 1071-1088 (2020). MSC: 11F67 11F72 PDF BibTeX XML Cite \textit{Z. Xu}, Front. Math. China 15, No. 5, 1071--1088 (2020; Zbl 07350727) Full Text: DOI
Blomer, Valentin; Buttcane, Jack On the subconvexity problem for \(L\)-functions on \({\mathrm GL}(3)\). (English) Zbl 07346528 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 6, 1441-1500 (2020). MSC: 11F66 11M41 11F72 PDF BibTeX XML Cite \textit{V. Blomer} and \textit{J. Buttcane}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 6, 1441--1500 (2020; Zbl 07346528) Full Text: DOI
Coates, John; Li, Yongxiong Non-vanishing theorems for central \(L\)-values of some elliptic curves with complex multiplication. (English) Zbl 07346496 Proc. Lond. Math. Soc. (3) 121, No. 6, 1531-1578 (2020). MSC: 11G15 11G05 11G40 PDF BibTeX XML Cite \textit{J. Coates} and \textit{Y. Li}, Proc. Lond. Math. Soc. (3) 121, No. 6, 1531--1578 (2020; Zbl 07346496) Full Text: DOI
Cao, Wei; Hong, Shaofang L-functions of twisted exponential sums over finite fields. (English) Zbl 07345287 Ramanujan J. 53, No. 3, 569-584 (2020). MSC: 11M38 11T24 14G10 PDF BibTeX XML Cite \textit{W. Cao} and \textit{S. Hong}, Ramanujan J. 53, No. 3, 569--584 (2020; Zbl 07345287) Full Text: DOI
Saïas, Éric; Seip, Kristian A footnote to a theorem of Halász. (English) Zbl 07344690 Funct. Approximatio, Comment. Math. 63, No. 1, 125-131 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11N64 PDF BibTeX XML Cite \textit{É. Saïas} and \textit{K. Seip}, Funct. Approximatio, Comment. Math. 63, No. 1, 125--131 (2020; Zbl 07344690) Full Text: DOI Euclid
Aggarwal, Keshav; Holowinsky, Roman; Lin, Yongxiao; Sun, Qingfeng The Burgess bound via a trivial delta method. (English) Zbl 07343714 Ramanujan J. 53, No. 1, 49-74 (2020). MSC: 11F66 PDF BibTeX XML Cite \textit{K. Aggarwal} et al., Ramanujan J. 53, No. 1, 49--74 (2020; Zbl 07343714) Full Text: DOI
Gierszewski, Karol Some remarks on twists and Euler products in the Selberg class. (English) Zbl 07338298 Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 293-299 (2020). MSC: 11M41 11F66 PDF BibTeX XML Cite \textit{K. Gierszewski}, Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 293--299 (2020; Zbl 07338298) Full Text: Link
Lee, H. Y.; Ryoo, C. S. A note on the twisted \((h, p,q)\)-Euler numbers and polynomials. (English) Zbl 07333403 J. Algebra Appl. Math. 18, No. 2, 143-154 (2020). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{H. Y. Lee} and \textit{C. S. Ryoo}, J. Algebra Appl. Math. 18, No. 2, 143--154 (2020; Zbl 07333403)
Benois, Denis \(p\)-adic heights and \(p\)-adic Hodge theory. (English. French summary) Zbl 07333374 Mém. Soc. Math. Fr., Nouv. Sér. 167, 1-135 (2020). MSC: 11R23 11F80 11S25 11G40 PDF BibTeX XML Cite \textit{D. Benois}, Mém. Soc. Math. Fr., Nouv. Sér. 167, 1--135 (2020; Zbl 07333374) Full Text: DOI
Voros, André Discretized Keiper/Li approach to the Riemann hypothesis. (English) Zbl 07330983 Exp. Math. 29, No. 4, 452-469 (2020). MSC: 11M26 30B40 30E15 41A60 PDF BibTeX XML Cite \textit{A. Voros}, Exp. Math. 29, No. 4, 452--469 (2020; Zbl 07330983) Full Text: DOI
Kunzweiler, Sabrina Differential forms on hyperelliptic curves with semistable reduction. (English) Zbl 07329837 Res. Number Theory 6, No. 2, Paper No. 25, 17 p. (2020). MSC: 11G20 14H25 11G40 PDF BibTeX XML Cite \textit{S. Kunzweiler}, Res. Number Theory 6, No. 2, Paper No. 25, 17 p. (2020; Zbl 07329837) Full Text: DOI
Kim, Minhyong Arithmetic Chern-Simons theory. I. (English) Zbl 1456.14029 Neumann, Frank (ed.) et al., Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. Cham: Springer. Springer Proc. Math. Stat. 330, 155-180 (2020). MSC: 14G10 11G40 81T45 PDF BibTeX XML Cite \textit{M. Kim}, Springer Proc. Math. Stat. 330, 155--180 (2020; Zbl 1456.14029) Full Text: DOI
Li, Chao Recent developments on quadratic twists of elliptic curves. (English) Zbl 1457.11077 Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381-399 (2020). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381--399 (2020; Zbl 1457.11077)