Dimitrov, Mladen; Januszewski, Fabian; Raghuram, A. \(L\)-functions of \(\mathrm{GL}_{2n}\): \(p\)-adic properties and non-vanishing of twists. (English) Zbl 07308571 Compos. Math. 156, No. 12, 2437-2468 (2021). MSC: 11F67 11S40 11F55 11F70 PDF BibTeX XML Cite \textit{M. Dimitrov} et al., Compos. Math. 156, No. 12, 2437--2468 (2021; Zbl 07308571) Full Text: DOI
Thorner, Jesse Effective forms of the Sato-Tate conjecture. (English) Zbl 07307665 Res. Math. Sci. 8, No. 1, Paper No. 4, 21 p. (2021). MSC: 11F66 11F70 11G05 11F30 PDF BibTeX XML Cite \textit{J. Thorner}, Res. Math. Sci. 8, No. 1, Paper No. 4, 21 p. (2021; Zbl 07307665) 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
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
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). 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
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
Grbac, Neven; Schwermer, Joachim Eisenstein series for rank one unitary groups and some cohomological applications. (English) Zbl 07282541 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 07282541) Full Text: DOI
Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou Monomials of Eisenstein series. (English) Zbl 07276969 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 07276969) Full Text: DOI
Khayutin, Ilya Non-vanishing of class group \(L\)-functions for number fields with a small regulator. (English) Zbl 07305889 Compos. Math. 156, No. 11, 2423-2436 (2020). MSC: 11M41 11E45 PDF BibTeX XML Cite \textit{I. Khayutin}, Compos. Math. 156, No. 11, 2423--2436 (2020; Zbl 07305889) Full Text: DOI
Hu, Yueke; Saha, Abhishek Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces. II: Newforms and subconvexity. (English) Zbl 07305887 Compos. Math. 156, No. 11, 2368-2398 (2020). MSC: 11F70 11F12 11F66 11F67 11F72 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{A. Saha}, Compos. Math. 156, No. 11, 2368--2398 (2020; Zbl 07305887) Full Text: DOI
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra Branching laws for classical groups: the non-tempered case. (English) Zbl 07305886 Compos. Math. 156, No. 11, 2298-2367 (2020). MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{W. T. Gan} et al., Compos. Math. 156, No. 11, 2298--2367 (2020; Zbl 07305886) Full Text: DOI
Raum, Martin; Xia, Jiacheng All modular forms of weight 2 can be expressed by Eisenstein series. (English) Zbl 07304539 Res. Number Theory 6, No. 3, Paper No. 32, 16 p. (2020). MSC: 11F11 11F67 11F25 PDF BibTeX XML Cite \textit{M. Raum} and \textit{J. Xia}, Res. Number Theory 6, No. 3, Paper No. 32, 16 p. (2020; Zbl 07304539) Full Text: DOI
Lao, Huixue; Ye, Yangbo Dirichlet series, asymptotics, and statistics based on functoriality from GL(2). (English) Zbl 07304532 Res. Number Theory 6, No. 4, Paper No. 37, 19 p. (2020). MSC: 11F70 11F66 11F30 PDF BibTeX XML Cite \textit{H. Lao} and \textit{Y. Ye}, Res. Number Theory 6, No. 4, Paper No. 37, 19 p. (2020; Zbl 07304532) Full Text: DOI
Otsuki, Rei The \(p\)-adic \(L\)-functions for higher weight modular forms in the supersingular case (announcement). (Japanese. English summary) Zbl 07303994 RIMS Kôkyûroku Bessatsu B77, 239-250 (2020). MSC: 11F67 11R23 PDF BibTeX XML Cite \textit{R. Otsuki}, RIMS Kôkyûroku Bessatsu B77, 239--250 (2020; Zbl 07303994) Full Text: Link
Nakashima, Hideto Functional equations of zeta functions associated with homogeneous cones. (English) Zbl 07303954 Tohoku Math. J. (2) 72, No. 3, 349-378 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11S90 22E25 43A85 PDF BibTeX XML Cite \textit{H. Nakashima}, Tohoku Math. J. (2) 72, No. 3, 349--378 (2020; Zbl 07303954) Full Text: DOI Euclid
Bernardi, Dominique; Perrin-Riou, Bernadette Modular symbols and Petersson’s product. (Symboles modulaires et produit de Petersson.) (French. English summary) Zbl 07299135 J. Théor. Nombres Bordx. 32, No. 3, 795-859 (2020). MSC: 11F03 11F11 11F67 11F30 PDF BibTeX XML Cite \textit{D. Bernardi} and \textit{B. Perrin-Riou}, J. Théor. Nombres Bordx. 32, No. 3, 795--859 (2020; Zbl 07299135) Full Text: DOI
Jha, Somnath; Ochiai, Tadashi Control theorem and functional equation of Selmer groups over \(p\)-adic Lie extensions. (English) Zbl 07296292 Sel. Math., New Ser. 26, No. 5, Paper No. 80, 58 p. (2020). MSC: 11R23 19A31 16E20 11G40 20C07 11G05 11F67 PDF BibTeX XML Cite \textit{S. Jha} and \textit{T. Ochiai}, Sel. Math., New Ser. 26, No. 5, Paper No. 80, 58 p. (2020; Zbl 07296292) Full Text: DOI
Bouarroudj, Sofiane; Hajli, Mounir On the explicit formulas for zeta functions. (English) Zbl 07292731 Math. Methods Appl. Sci. 43, No. 17, 10249-10261 (2020). MSC: 11B99 11F67 11E45 11M35 11M26 11B68 PDF BibTeX XML Cite \textit{S. Bouarroudj} and \textit{M. Hajli}, Math. Methods Appl. Sci. 43, No. 17, 10249--10261 (2020; Zbl 07292731) Full Text: DOI
Kurinczuk, Robert; Matringe, Nadir Characterisation of the poles of the \(\ell \)-modular Asai L-factor. (Caractérisation des pôles du facteur d’Asai \(\ell\)-modulaire.) (English) Zbl 07290302 Bull. Soc. Math. Fr. 148, No. 3, 481-514 (2020). MSC: 22E50 11F70 11F66 PDF BibTeX XML Cite \textit{R. Kurinczuk} and \textit{N. Matringe}, Bull. Soc. Math. Fr. 148, No. 3, 481--514 (2020; Zbl 07290302) Full Text: DOI
Blanco-Chacón, Iván; Fornea, Michele Twisted triple product \(p\)-adic \(L\)-functions and Hirzebruch-Zagier cycles. (English) Zbl 07286299 J. Inst. Math. Jussieu 19, No. 6, 1947-1992 (2020). MSC: 11F41 11G35 11G40 PDF BibTeX XML Cite \textit{I. Blanco-Chacón} and \textit{M. Fornea}, J. Inst. Math. Jussieu 19, No. 6, 1947--1992 (2020; Zbl 07286299) Full Text: DOI
Grossi, Giada On norm relations for Asai-Flach classes. (English) Zbl 07285862 Int. J. Number Theory 16, No. 10, 2311-2377 (2020). MSC: 11F41 11F70 11F80 14G35 PDF BibTeX XML Cite \textit{G. Grossi}, Int. J. Number Theory 16, No. 10, 2311--2377 (2020; Zbl 07285862) Full Text: DOI
Stucker, T.; Vennos, A.; Young, M. P. Dedekind sums arising from newform Eisenstein series. (English) Zbl 07285853 Int. J. Number Theory 16, No. 10, 2129-2139 (2020). MSC: 11F20 11F03 11F67 PDF BibTeX XML Cite \textit{T. Stucker} et al., Int. J. Number Theory 16, No. 10, 2129--2139 (2020; Zbl 07285853) Full Text: DOI
Diamantis, Nikolaos; Drewitt, Joshua Period functions associated to real-analytic modular forms. (English) Zbl 07283927 Res. Math. Sci. 7, No. 3, Paper No. 21, 23 p. (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11M41 PDF BibTeX XML Cite \textit{N. Diamantis} and \textit{J. Drewitt}, Res. Math. Sci. 7, No. 3, Paper No. 21, 23 p. (2020; Zbl 07283927) Full Text: DOI
Laurinčikas, Antanas Joint approximation by zeta-functions of cusp forms. (English) Zbl 07283189 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 297-314 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 41A28 PDF BibTeX XML Cite \textit{A. Laurinčikas}, Adv. Stud. Pure Math. 84, 297--314 (2020; Zbl 07283189) Full Text: DOI Euclid
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi An overview and supplements to the theory of functional relations for zeta-functions of root systems. (English) Zbl 07283188 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 263-295 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11B68 11F27 11M32 11M99 PDF BibTeX XML Cite \textit{Y. Komori} et al., Adv. Stud. Pure Math. 84, 263--295 (2020; Zbl 07283188) Full Text: DOI Euclid
Katsurada, Masanori Complete asymptotic expansions associated with various zeta-functions. (English) Zbl 07283187 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 205-262 (2020). MSC: 11E45 11M06 11M35 11E45 11F11 11M32 11M36 11P82 PDF BibTeX XML Cite \textit{M. Katsurada}, Adv. Stud. Pure Math. 84, 205--262 (2020; Zbl 07283187) Full Text: DOI Euclid
Essouabri, Driss On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 07283180 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 23-64 (2020). MSC: 11N37 11M32 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11P21 PDF BibTeX XML Cite \textit{D. Essouabri}, Adv. Stud. Pure Math. 84, 23--64 (2020; Zbl 07283180) Full Text: DOI Euclid
Bhowmik, Gautami; Halupczok, Karin Asymptotics of Goldbach representations. (English) Zbl 07283179 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 1-21 (2020). MSC: 11P32 11M26 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 PDF BibTeX XML Cite \textit{G. Bhowmik} and \textit{K. Halupczok}, Adv. Stud. Pure Math. 84, 1--21 (2020; Zbl 07283179) Full Text: DOI Euclid
Howe, Sean A unipotent circle action on \(p\)-adic modular forms. (English) Zbl 07281950 Trans. Am. Math. Soc., Ser. B 7, 186-226 (2020). MSC: 11F33 11F77 PDF BibTeX XML Cite \textit{S. Howe}, Trans. Am. Math. Soc., Ser. B 7, 186--226 (2020; Zbl 07281950) Full Text: DOI
Frolenkov, Dmitry A. Nondiagonal terms in the second moment of automorphic \(L\)-functions. (English. Russian original) Zbl 07276777 Sb. Math. 211, No. 8, 1171-1189 (2020); translation from Mat. Sb. 211, No. 8, 114-131 (2020). MSC: 11F12 11F66 PDF BibTeX XML Cite \textit{D. A. Frolenkov}, Sb. Math. 211, No. 8, 1171--1189 (2020; Zbl 07276777); translation from Mat. Sb. 211, No. 8, 114--131 (2020) Full Text: DOI
Rapoport, M.; Smithling, B.; Zhang, W. Arithmetic diagonal cycles on unitary Shimura varieties. (English) Zbl 07270080 Compos. Math. 156, No. 9, 1745-1824 (2020). MSC: 14G35 11F67 14G40 PDF BibTeX XML Cite \textit{M. Rapoport} et al., Compos. Math. 156, No. 9, 1745--1824 (2020; Zbl 07270080) Full Text: DOI
Diamantis, Nikolaos Kernels of \(L\)-functions and shifted convolutions. (English) Zbl 07268376 Proc. Am. Math. Soc. 148, No. 12, 5059-5070 (2020). MSC: 11F67 11F68 PDF BibTeX XML Cite \textit{N. Diamantis}, Proc. Am. Math. Soc. 148, No. 12, 5059--5070 (2020; Zbl 07268376) Full Text: DOI
Mizumoto, Shin-ichiro Correction to: “Poles and residues of standard \(L\)-functions attached to Siegel modular forms”. (English) Zbl 1444.11094 Math. Ann. 378, No. 3-4, 1655-1660 (2020). MSC: 11F66 11F67 11F46 11F70 PDF BibTeX XML Cite \textit{S.-i. Mizumoto}, Math. Ann. 378, No. 3--4, 1655--1660 (2020; Zbl 1444.11094) Full Text: DOI
Rosu, Eugenia Central values of \(L\)-functions of cubic twists. (English) Zbl 07262924 Math. Ann. 378, No. 3-4, 1327-1370 (2020). MSC: 11G40 11F67 14H52 PDF BibTeX XML Cite \textit{E. Rosu}, Math. Ann. 378, No. 3--4, 1327--1370 (2020; Zbl 07262924) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Shifted convolution sums for \(\mathrm{SL}(m)\). (English) Zbl 1444.11073 Manuscr. Math. 163, No. 3-4, 375-394 (2020). MSC: 11F30 11F66 11F11 11F70 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, Manuscr. Math. 163, No. 3--4, 375--394 (2020; Zbl 1444.11073) Full Text: DOI
Aymone, Marco; Frómeta, Susana; Misturini, Ricardo Law of the iterated logarithm for a random Dirichlet series. (English) Zbl 07252776 Electron. Commun. Probab. 25, Paper No. 56, 14 p. (2020). MSC: 60G50 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 PDF BibTeX XML Cite \textit{M. Aymone} et al., Electron. Commun. Probab. 25, Paper No. 56, 14 p. (2020; Zbl 07252776) Full Text: DOI Euclid
Liu, Zheng; Rosso, Giovanni Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions. (English) Zbl 07250824 Math. Ann. 378, No. 1-2, 153-231 (2020). MSC: 11F46 11F33 11R23 11S40 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{G. Rosso}, Math. Ann. 378, No. 1--2, 153--231 (2020; Zbl 07250824) Full Text: DOI
Cauchi, Antonio; Rodrigues Jacinto, Joaquín Norm-compatible systems of Galois cohomology classes for \(\mathbf{GSp}_6\). (English) Zbl 07249995 Doc. Math. 25, 911-954 (2020). MSC: 11G18 11F46 11G40 PDF BibTeX XML Cite \textit{A. Cauchi} and \textit{J. Rodrigues Jacinto}, Doc. Math. 25, 911--954 (2020; Zbl 07249995) Full Text: DOI
Loeffler, David; Williams, Chris P-adic Asai \(L\)-functions of Bianchi modular forms. (English) Zbl 07248669 Algebra Number Theory 14, No. 7, 1669-1710 (2020). MSC: 11F67 11F41 11F85 11M41 11S40 PDF BibTeX XML Cite \textit{D. Loeffler} and \textit{C. Williams}, Algebra Number Theory 14, No. 7, 1669--1710 (2020; Zbl 07248669) Full Text: DOI
Liu, Jianya; Sun, Haiwei; Ye, Yangbo Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms. (English) Zbl 07242621 Sci. China, Math. 63, No. 5, 823-844 (2020). MSC: 11F66 11M41 41A60 PDF BibTeX XML Cite \textit{J. Liu} et al., Sci. China, Math. 63, No. 5, 823--844 (2020; Zbl 07242621) Full Text: DOI
Chen, Cheng; Jiang, Dihua; Lin, Bingchen; Tian, Fangyang Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\text{GL}_{2n}\): real case. (English) Zbl 07242452 Math. Z. 296, No. 1-2, 479-509 (2020). MSC: 22E45 11F67 11F70 11F85 PDF BibTeX XML Cite \textit{C. Chen} et al., Math. Z. 296, No. 1--2, 479--509 (2020; Zbl 07242452) Full Text: DOI
Ganguly, Satadal; Mawia, Ramdin Rankin-Selberg L-functions and “beyond endoscopy”. (English) Zbl 07242439 Math. Z. 296, No. 1-2, 175-184 (2020). MSC: 11F12 11F30 11F66 11F72 11F70 22E55 PDF BibTeX XML Cite \textit{S. Ganguly} and \textit{R. Mawia}, Math. Z. 296, No. 1--2, 175--184 (2020; Zbl 07242439) Full Text: DOI
Bedert, Benjamin; Cooper, George; Oliver, Thomas; Zhang, Pengcheng Twisting moduli for GL(2). (English) Zbl 07242304 J. Number Theory 217, 142-162 (2020). MSC: 11F66 11M41 11F12 PDF BibTeX XML Cite \textit{B. Bedert} et al., J. Number Theory 217, 142--162 (2020; Zbl 07242304) Full Text: DOI
Lemma, Francesco Algebraic cycles and residues of degree \(8 L\)-functions of GSp(4) \(\times\) GL(2). (English) Zbl 07236158 Int. Math. Res. Not. 2020, No. 12, 3614-3648 (2020). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{F. Lemma}, Int. Math. Res. Not. 2020, No. 12, 3614--3648 (2020; Zbl 07236158) Full Text: DOI
Khan, Rizwanur The fifth moment of Hecke \(L\)-functions in the weight aspect. (English) Zbl 07235612 Math. Proc. Camb. Philos. Soc. 168, No. 3, 543-566 (2020). MSC: 11F03 11M99 PDF BibTeX XML Cite \textit{R. Khan}, Math. Proc. Camb. Philos. Soc. 168, No. 3, 543--566 (2020; Zbl 07235612) Full Text: DOI
Bergeron, Nicolas; Charollois, Pierre; Garcia, Luis E. Transgressions of the Euler class and Eisenstein cohomology of \(\text{GL}_N(\text{Z})\). (English) Zbl 07227830 Jpn. J. Math. (3) 15, No. 2, 311-379 (2020). MSC: 11F41 11F67 11F66 11F75 57R20 PDF BibTeX XML Cite \textit{N. Bergeron} et al., Jpn. J. Math. (3) 15, No. 2, 311--379 (2020; Zbl 07227830) Full Text: DOI
Morimoto, Kazuki; Soudry, David On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\). (English) Zbl 07226984 J. Number Theory 216, 83-141 (2020). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{K. Morimoto} and \textit{D. Soudry}, J. Number Theory 216, 83--141 (2020; Zbl 07226984) Full Text: DOI
Mahatab, Kamalakshya; Mukhopadhyay, Anirban Omega theorems for the twisted divisor function. (English) Zbl 07225508 Funct. Approximatio, Comment. Math. 62, No. 2, 171-186 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11N37 PDF BibTeX XML Cite \textit{K. Mahatab} and \textit{A. Mukhopadhyay}, Funct. Approximatio, Comment. Math. 62, No. 2, 171--186 (2020; Zbl 07225508) Full Text: DOI Euclid
Zaghloul, Giamila On the linear twist of degree \(1\) functions in the extended Selberg class. (English) Zbl 07225503 Funct. Approximatio, Comment. Math. 62, No. 1, 105-120 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 PDF BibTeX XML Cite \textit{G. Zaghloul}, Funct. Approximatio, Comment. Math. 62, No. 1, 105--120 (2020; Zbl 07225503) Full Text: DOI Euclid
Acharya, Ratnadeep; Kumar, Sumit; Maiti, Gopal; Singh, Saurabh Kumar Subconvexity bound for \(\mathrm{GL}(2)\) \(L\)-functions: \(t\)-aspect. (English) Zbl 1452.11057 Acta Arith. 194, No. 2, 111-133 (2020). MSC: 11F66 11M41 11F55 PDF BibTeX XML Cite \textit{R. Acharya} et al., Acta Arith. 194, No. 2, 111--133 (2020; Zbl 1452.11057) Full Text: DOI
Ferrara, Joseph W. A \(p\)-adic Stark conjecture in the rank one setting. (English) Zbl 07221802 Acta Arith. 193, No. 4, 369-417 (2020). MSC: 11F67 11R42 PDF BibTeX XML Cite \textit{J. W. Ferrara}, Acta Arith. 193, No. 4, 369--417 (2020; Zbl 07221802) Full Text: DOI
Lü, Guangshi; Wang, Dan Shifted convolution sums of Fourier coefficients with squarefull kernel functions. (English) Zbl 1441.11095 Lith. Math. J. 60, No. 1, 51-63 (2020). MSC: 11F30 11F66 PDF BibTeX XML Cite \textit{G. Lü} and \textit{D. Wang}, Lith. Math. J. 60, No. 1, 51--63 (2020; Zbl 1441.11095) Full Text: DOI
Greenberg, Matthew; Seveso, Marco Adamo On the rationality of period integrals and special value formulas in the compact case. (English) Zbl 07219812 Rend. Semin. Mat. Univ. Padova 143, 35-80 (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 PDF BibTeX XML Cite \textit{M. Greenberg} and \textit{M. A. Seveso}, Rend. Semin. Mat. Univ. Padova 143, 35--80 (2020; Zbl 07219812) Full Text: DOI
Liu, Zheng \(p\)-adic \(L\)-functions for ordinary families on symplectic groups. (English) Zbl 07219260 J. Inst. Math. Jussieu 19, No. 4, 1287-1347 (2020). MSC: 11F33 11F46 11F67 11F60 11F30 11G18 PDF BibTeX XML Cite \textit{Z. Liu}, J. Inst. Math. Jussieu 19, No. 4, 1287--1347 (2020; Zbl 07219260) Full Text: DOI
Choie, YoungJu; Kohnen, Winfried; Zhang, Yichao Simultaneous nonvanishing of products of \(L\)-functions associated to elliptic cusp forms. (English) Zbl 07217651 J. Math. Anal. Appl. 486, No. 2, Article ID 123930, 13 p. (2020). MSC: 11M06 11F03 PDF BibTeX XML Cite \textit{Y. Choie} et al., J. Math. Anal. Appl. 486, No. 2, Article ID 123930, 13 p. (2020; Zbl 07217651) Full Text: DOI
Jo, Yeongseong Rankin-Selberg \(L\)-functions via good sections. (English) Zbl 07216247 Forum Math. 32, No. 4, 1039-1074 (2020). MSC: 11F70 11F85 11S23 11S40 22E50 PDF BibTeX XML Cite \textit{Y. Jo}, Forum Math. 32, No. 4, 1039--1074 (2020; Zbl 07216247) Full Text: DOI
Brown, Francis A class of nonholomorphic modular forms. II: Equivariant iterated Eisenstein integrals. (English) Zbl 1452.11054 Forum Math. Sigma 8, Paper No. 31, 62 p. (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11M32 11F67 81T30 PDF BibTeX XML Cite \textit{F. Brown}, Forum Math. Sigma 8, Paper No. 31, 62 p. (2020; Zbl 1452.11054) Full Text: DOI
Delbourgo, Daniel; Lei, Antonio Heegner cycles and congruences between anticyclotomic \(p\)-adic \(L\)-functions over CM-extensions. (English) Zbl 07213813 New York J. Math. 26, 496-525 (2020). MSC: 11F33 11F41 11G40 11R23 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{A. Lei}, New York J. Math. 26, 496--525 (2020; Zbl 07213813) Full Text: Link
Jakobson, Dmitry; Naud, Frédéric; Soares, Louis Large degree covers and sharp resonances of hyperbolic surfaces. (Revêtements de haut degré et résonances des surfaces hyperboliques.) (English. French summary) Zbl 1445.58013 Ann. Inst. Fourier 70, No. 2, 523-596 (2020). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 58J50 37C30 37D35 11F70 11F67 51M10 PDF BibTeX XML Cite \textit{D. Jakobson} et al., Ann. Inst. Fourier 70, No. 2, 523--596 (2020; Zbl 1445.58013) Full Text: DOI
Eischen, Ellen; Harris, Michael; Li, Jianshu; Skinner, Christopher \(p\)-adic \(L\)-functions for unitary groups. (English) Zbl 07209559 Forum Math. Pi 8, Paper No. e9, 160 p. (2020). MSC: 11F85 11F66 14G10 11F55 11R23 14G35 11G10 11F03 PDF BibTeX XML Cite \textit{E. Eischen} et al., Forum Math. Pi 8, Paper No. e9, 160 p. (2020; Zbl 07209559) Full Text: DOI
Yao, Weili Mean-square estimate of automorphic \(L\)-functions. (English) Zbl 1446.11067 Front. Math. China 15, No. 1, 205-213 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11F11 11F30 PDF BibTeX XML Cite \textit{W. Yao}, Front. Math. China 15, No. 1, 205--213 (2020; Zbl 1446.11067) Full Text: DOI
Hu, Guangwei; Wang, Ke Higher moment of coefficients of Dedekind zeta function. (English) Zbl 07205966 Front. Math. China 15, No. 1, 57-67 (2020). MSC: 11F30 11N45 11R16 11R42 PDF BibTeX XML Cite \textit{G. Hu} and \textit{K. Wang}, Front. Math. China 15, No. 1, 57--67 (2020; Zbl 07205966) Full Text: DOI
Chan, Charlotte Period identities of CM forms on quaternion algebras. (English) Zbl 07205612 Forum Math. Sigma 8, Article ID e25, 75 p. (2020). MSC: 11F67 11F27 11R52 PDF BibTeX XML Cite \textit{C. Chan}, Forum Math. Sigma 8, Article ID e25, 75 p. (2020; Zbl 07205612) Full Text: DOI
Choie, YoungJu; Zhang, Yichao Kernels for products of Hilbert L-functions. (English) Zbl 07203110 Math. Z. 295, No. 1-2, 87-99 (2020). MSC: 11F67 11F41 11F03 PDF BibTeX XML Cite \textit{Y. Choie} and \textit{Y. Zhang}, Math. Z. 295, No. 1--2, 87--99 (2020; Zbl 07203110) Full Text: DOI
Lin, Bingchen; Tian, Fangyang Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\text{GL}_{2n}\): complex case. (English) Zbl 07203002 Adv. Math. 369, Article ID 107189, 50 p. (2020). MSC: 22E45 11F67 PDF BibTeX XML Cite \textit{B. Lin} and \textit{F. Tian}, Adv. Math. 369, Article ID 107189, 50 p. (2020; Zbl 07203002) Full Text: DOI
Tang, Hengcai A shift convolution sum of \(d_3\) and the Fourier coefficients of Hecke-Maass forms. II. (English) Zbl 1440.11068 Bull. Aust. Math. Soc. 101, No. 3, 401-414 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F30 11F37 11F66 PDF BibTeX XML Cite \textit{H. Tang}, Bull. Aust. Math. Soc. 101, No. 3, 401--414 (2020; Zbl 1440.11068) Full Text: DOI
Burns, David On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). (English) Zbl 07201148 J. Reine Angew. Math. 762, 53-104 (2020). MSC: 11R23 11R42 11E95 11F67 PDF BibTeX XML Cite \textit{D. Burns}, J. Reine Angew. Math. 762, 53--104 (2020; Zbl 07201148) Full Text: DOI
Chenevier, Gaëtan An automorphic generalization of the Hermite-Minkowski theorem. (English) Zbl 1450.11047 Duke Math. J. 169, No. 6, 1039-1075 (2020). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F80 11F66 22E50 PDF BibTeX XML Cite \textit{G. Chenevier}, Duke Math. J. 169, No. 6, 1039--1075 (2020; Zbl 1450.11047) Full Text: DOI Euclid
Jiang, Dihua; Zhang, Lei On the non-vanishing of the central value of certain \(L\)-functions: unitary groups. (English) Zbl 1452.11060 J. Eur. Math. Soc. (JEMS) 22, No. 6, 1759-1783 (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F70 22E55 11F30 11F66 PDF BibTeX XML Cite \textit{D. Jiang} and \textit{L. Zhang}, J. Eur. Math. Soc. (JEMS) 22, No. 6, 1759--1783 (2020; Zbl 1452.11060) Full Text: DOI
Dickson, Martin; Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf Explicit refinements of Böcherer’s conjecture for Siegel modular forms of squarefree level. (English) Zbl 07196505 J. Math. Soc. Japan 72, No. 1, 251-301 (2020). MSC: 11F46 11F30 11F67 11F70 PDF BibTeX XML Cite \textit{M. Dickson} et al., J. Math. Soc. Japan 72, No. 1, 251--301 (2020; Zbl 07196505) Full Text: DOI Euclid
Collins, Dan J. Anticyclotomic \(p\)-adic \(L\)-functions and Ichino’s formula. (English. French summary) Zbl 07188948 Ann. Math. Qué. 44, No. 1, 27-89 (2020). MSC: 11F67 PDF BibTeX XML Cite \textit{D. J. Collins}, Ann. Math. Qué. 44, No. 1, 27--89 (2020; Zbl 07188948) Full Text: DOI
Sachdeva, Gunja Critical values of \(L\)-functions for \(\mathrm{GL}_3 \times \mathrm{GL}_1\) and symmetric square \(L\)-functions for \(\mathrm{GL}_2\) over a CM field. (English) Zbl 07185504 J. Number Theory 211, 43-74 (2020). MSC: 11F67 11F66 11F41 11F70 22E55 PDF BibTeX XML Cite \textit{G. Sachdeva}, J. Number Theory 211, 43--74 (2020; Zbl 07185504) Full Text: DOI
Chandee, Vorrapan; Li, Xiannan The second moment of \(\mathrm{GL} (4) \times \mathrm{GL} (2)\) \(L\)-functions at special points. (English) Zbl 07184862 Adv. Math. 365, Article ID 107060, 39 p. (2020). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F66 11F41 11F72 PDF BibTeX XML Cite \textit{V. Chandee} and \textit{X. Li}, Adv. Math. 365, Article ID 107060, 39 p. (2020; Zbl 07184862) Full Text: DOI
Lee, Yoonbok On the zeros of Epstein zeta functions near the critical line. (English) Zbl 1436.11036 J. Math. Anal. Appl. 487, No. 1, Article ID 123973, 29 p. (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E45 11E41 PDF BibTeX XML Cite \textit{Y. Lee}, J. Math. Anal. Appl. 487, No. 1, Article ID 123973, 29 p. (2020; Zbl 1436.11036) Full Text: DOI
Lester, Stephen; Radziwiłł, Maksym Quantum unique ergodicity for half-integral weight automorphic forms. (English) Zbl 1441.11107 Duke Math. J. 169, No. 2, 279-351 (2020). Reviewer: Kaisa Matomäki (Turku) MSC: 11F37 11M41 11F30 PDF BibTeX XML Cite \textit{S. Lester} and \textit{M. Radziwiłł}, Duke Math. J. 169, No. 2, 279--351 (2020; Zbl 1441.11107) Full Text: DOI Euclid
Jacquet, Hervé; Liu, Baiying A remark on a converse theorem of Cogdell and Piatetski-Shapiro. (English) Zbl 07176238 J. Reine Angew. Math. 760, 195-212 (2020). MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{H. Jacquet} and \textit{B. Liu}, J. Reine Angew. Math. 760, 195--212 (2020; Zbl 07176238) Full Text: DOI
Lao, H. X. On comparing Hecke eigenvalues of cusp forms. (English) Zbl 07175000 Acta Math. Hung. 160, No. 1, 58-71 (2020). MSC: 11F30 11F11 11F66 PDF BibTeX XML Cite \textit{H. X. Lao}, Acta Math. Hung. 160, No. 1, 58--71 (2020; Zbl 07175000) 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
Sun, Qingfeng Hybrid bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 07173897 Publ. Mat., Barc. 64, No. 1, 75-102 (2020). MSC: 11F66 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 PDF BibTeX XML Cite \textit{Q. Sun}, Publ. Mat., Barc. 64, No. 1, 75--102 (2020; Zbl 07173897) Full Text: DOI Euclid
Ye, Dongxi On a zeta function associated to a quadratic order. (English) Zbl 07173338 Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020). Reviewer: Noriko Yui (Kingston) MSC: 11E45 11F03 11M41 11R42 PDF BibTeX XML Cite \textit{D. Ye}, Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020; Zbl 07173338) Full Text: DOI
Peyrot, Alexandre Large values of Hecke-Maass \(L\)-functions with prescribed argument. (English) Zbl 1452.11058 Int. J. Number Theory 16, No. 1, 173-206 (2020). MSC: 11F66 11F37 11M41 PDF BibTeX XML Cite \textit{A. Peyrot}, Int. J. Number Theory 16, No. 1, 173--206 (2020; Zbl 1452.11058) Full Text: DOI
Atobe, Hiraku Jacquet modules and local Langlands correspondence. (English) Zbl 07160160 Invent. Math. 219, No. 3, 831-871 (2020). MSC: 22E50 11S37 22E50 22E55 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{H. Atobe}, Invent. Math. 219, No. 3, 831--871 (2020; Zbl 07160160) Full Text: DOI
Pierce, Lillian B.; Turnage-Butterbaugh, Caroline L.; Wood, Melanie Matchett An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups. (English) Zbl 1445.11129 Invent. Math. 219, No. 2, 701-778 (2020). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R42 11R45 11N75 PDF BibTeX XML Cite \textit{L. B. Pierce} et al., Invent. Math. 219, No. 2, 701--778 (2020; Zbl 1445.11129) Full Text: DOI
Burungale, Ashay A.; Tian, Ye Horizontal non-vanishing of Heegner points and toric periods. (English) Zbl 1452.11075 Adv. Math. 362, Article ID 106938, 35 p. (2020). Reviewer: Matteo Longo (Padova) MSC: 11G40 11F70 11G18 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{Y. Tian}, Adv. Math. 362, Article ID 106938, 35 p. (2020; Zbl 1452.11075) Full Text: DOI arXiv
Giard, Antoine Mahler measure of a non-tempered Weierstrass form. (English) Zbl 1445.11122 J. Number Theory 209, 225-245 (2020). Reviewer: Riccardo Pengo (København) MSC: 11R06 11F67 11G05 11G50 14M25 19D55 19F27 33E05 PDF BibTeX XML Cite \textit{A. Giard}, J. Number Theory 209, 225--245 (2020; Zbl 1445.11122) Full Text: DOI
Jobrack, Matthew Non-vanishing of the derivative of \(L\)-functions at the central point. (English) Zbl 07152984 J. Number Theory 209, 49-82 (2020). MSC: 11F67 PDF BibTeX XML Cite \textit{M. Jobrack}, J. Number Theory 209, 49--82 (2020; Zbl 07152984) Full Text: DOI
Booker, Andrew R.; Krishnamurthy, M.; Lee, Min Test vectors for Rankin-Selberg \(L\)-functions. (English) Zbl 07152983 J. Number Theory 209, 37-48 (2020). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{A. R. Booker} et al., J. Number Theory 209, 37--48 (2020; Zbl 07152983) Full Text: DOI arXiv
Diamantis, Nikolaos; Hoffstein, Jeffrey; Kıral, Eren Mehmet; Lee, Min Additive twists and a conjecture by Mazur, Rubin and Stein. (English) Zbl 1439.11129 J. Number Theory 209, 1-36 (2020). Reviewer: Thomas Oliver (Nottingham) MSC: 11F67 11M99 PDF BibTeX XML Cite \textit{N. Diamantis} et al., J. Number Theory 209, 1--36 (2020; Zbl 1439.11129) Full Text: DOI
Choi, Dohoon; Lim, Subong Limits of traces of singular moduli. (English) Zbl 07144588 Trans. Am. Math. Soc. 373, No. 1, 185-227 (2020). MSC: 11F37 11F30 PDF BibTeX XML Cite \textit{D. Choi} and \textit{S. Lim}, Trans. Am. Math. Soc. 373, No. 1, 185--227 (2020; Zbl 07144588) Full Text: DOI arXiv
Tasaka, Koji Hecke eigenform and double Eisenstein series. (English) Zbl 07144485 Proc. Am. Math. Soc. 148, No. 1, 53-58 (2020). MSC: 11F11 11F67 11M32 PDF BibTeX XML Cite \textit{K. Tasaka}, Proc. Am. Math. Soc. 148, No. 1, 53--58 (2020; Zbl 07144485) Full Text: DOI arXiv
Frolenkov, Dmitry The cubic moment of automorphic \(L\)-functions in the weight aspect. (English) Zbl 07118784 J. Number Theory 207, 247-281 (2020). MSC: 11F67 11F11 33C20 PDF BibTeX XML Cite \textit{D. Frolenkov}, J. Number Theory 207, 247--281 (2020; Zbl 07118784) Full Text: DOI
Harder, Günter; Raghuram, A. Eisenstein cohomology for \({GL}_N\) and the special values of Rankin-Selberg \(L\)-functions. (English) Zbl 07098707 Annals of Mathematics Studies 203. Princeton, NJ: Princeton University Press (ISBN 978-0-691-19788-3/hbk; 978-0-691-19789-0/pbk; 978-0-691-19793-7/ebook). xi, 220 p. (2020). MSC: 22-02 11-02 11Mxx 11Fxx 22Exx PDF BibTeX XML Cite \textit{G. Harder} and \textit{A. Raghuram}, Eisenstein cohomology for \({GL}_N\) and the special values of Rankin-Selberg $L$-functions. Princeton, NJ: Princeton University Press (2020; Zbl 07098707) Full Text: DOI
Bergström, Jonas; Dummigan, Neil; Farmer, David; Koutsoliotas, Sally \(\mathrm{GL}_2\times \mathrm{GSp}_2\) \(L\)-values and Hecke eigenvalue congruences. (English. French summary) Zbl 1444.11076 J. Théor. Nombres Bordx. 31, No. 3, 751-775 (2019). MSC: 11F33 11F46 14G10 PDF BibTeX XML Cite \textit{J. Bergström} et al., J. Théor. Nombres Bordx. 31, No. 3, 751--775 (2019; Zbl 1444.11076) Full Text: DOI
Jha, Abhash Kumar; Juyal, Abhishek; Pandey, Manish Kumar On simultaneous non-vanishing of twisted \(L\)-functions associated to newforms on \(\Gamma_0(N)\). (English) Zbl 1441.11121 J. Ramanujan Math. Soc. 34, No. 2, 245-252 (2019). MSC: 11F67 11F66 PDF BibTeX XML Cite \textit{A. K. Jha} et al., J. Ramanujan Math. Soc. 34, No. 2, 245--252 (2019; Zbl 1441.11121) Full Text: Link
Bouganis, Thanasis; Marzec, Jolanta On the analytic properties of the standard \(L\)-function attached to Siegel-Jacobi modular forms. (English) Zbl 07164458 Doc. Math. 24, 2613-2684 (2019). MSC: 11F66 11F50 11F67 11F46 PDF BibTeX XML Cite \textit{T. Bouganis} and \textit{J. Marzec}, Doc. Math. 24, 2613--2684 (2019; Zbl 07164458) Full Text: DOI
Das, Soumya; Jha, Abhash Kumar Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications. (English) Zbl 07150328 Abh. Math. Semin. Univ. Hamb. 89, No. 2, 105-116 (2019). MSC: 11F55 11F66 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. K. Jha}, Abh. Math. Semin. Univ. Hamb. 89, No. 2, 105--116 (2019; Zbl 07150328) Full Text: DOI
Mine, Masahiro On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions. (English) Zbl 07149355 Funct. Approximatio, Comment. Math. 61, No. 2, 179-199 (2019). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11R42 PDF BibTeX XML Cite \textit{M. Mine}, Funct. Approximatio, Comment. Math. 61, No. 2, 179--199 (2019; Zbl 07149355) Full Text: DOI Euclid arXiv