Abdellatif, Ramla An introduction to \(p\)-modular representations of \(p\)-adic groups. (English) Zbl 07691217 Adv. Group Theory Appl. 15, 5-33 (2023). MSC: 11F70 11F85 20C08 20C20 20E08 20E42 22E50 20G05 PDF BibTeX XML Cite \textit{R. Abdellatif}, Adv. Group Theory Appl. 15, 5--33 (2023; Zbl 07691217) Full Text: Link OpenURL
Jung, Junehyuk; Sardari, Naser Talebizadeh Intersecting geodesics on the modular surface. (English) Zbl 07690998 Algebra Number Theory 17, No. 7, 1325-1357 (2023). MSC: 11F03 11F70 11F72 PDF BibTeX XML Cite \textit{J. Jung} and \textit{N. T. Sardari}, Algebra Number Theory 17, No. 7, 1325--1357 (2023; Zbl 07690998) Full Text: DOI arXiv OpenURL
Kumar, Narasimha; Sahoo, Satyabrat On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient. (English) Zbl 07689479 Can. Math. Bull. 66, No. 2, 587-598 (2023). MSC: 11F30 11F41 11F80 PDF BibTeX XML Cite \textit{N. Kumar} and \textit{S. Sahoo}, Can. Math. Bull. 66, No. 2, 587--598 (2023; Zbl 07689479) Full Text: DOI arXiv OpenURL
Jo, Yeongseong Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic. (English) Zbl 07688743 Pac. J. Math. 322, No. 2, 301-340 (2023). MSC: 11F70 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Jo}, Pac. J. Math. 322, No. 2, 301--340 (2023; Zbl 07688743) Full Text: DOI arXiv OpenURL
Hellmann, Eugen On the derived category of the Iwahori-Hecke algebra. (English) Zbl 07687686 Compos. Math. 159, No. 5, 1042-1110 (2023). MSC: 11F70 11S37 11F80 22E50 PDF BibTeX XML Cite \textit{E. Hellmann}, Compos. Math. 159, No. 5, 1042--1110 (2023; Zbl 07687686) Full Text: DOI arXiv OpenURL
Nelson, Paul D. Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\). (English) Zbl 07687156 Invent. Math. 232, No. 3, 1273-1438 (2023). MSC: 11F67 11F70 11M99 35A27 53D50 PDF BibTeX XML Cite \textit{P. D. Nelson}, Invent. Math. 232, No. 3, 1273--1438 (2023; Zbl 07687156) Full Text: DOI arXiv OpenURL
Blomer, Valentin; Jana, Subhajit; Nelson, Paul D. The Weyl bound for triple product \(L\)-functions. (English) Zbl 07684364 Duke Math. J. 172, No. 6, 1173-1234 (2023). MSC: 11M41 11F70 11F72 PDF BibTeX XML Cite \textit{V. Blomer} et al., Duke Math. J. 172, No. 6, 1173--1234 (2023; Zbl 07684364) Full Text: DOI arXiv OpenURL
Xue, Hang Bessel models for real unitary groups: the tempered case. (English) Zbl 07684358 Duke Math. J. 172, No. 5, 995-1031 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 PDF BibTeX XML Cite \textit{H. Xue}, Duke Math. J. 172, No. 5, 995--1031 (2023; Zbl 07684358) Full Text: DOI OpenURL
Bhagwat, Chandrasheel; Mondal, Sudipa Automorphic tensor products and cuspidal cohomology of the \(\mathrm{GL}_4\). (English) Zbl 07682947 Int. J. Number Theory 19, No. 5, 1097-1110 (2023). MSC: 11F41 11F75 PDF BibTeX XML Cite \textit{C. Bhagwat} and \textit{S. Mondal}, Int. J. Number Theory 19, No. 5, 1097--1110 (2023; Zbl 07682947) Full Text: DOI arXiv OpenURL
Kamaraj, Ramanujam; Kane, Ben; Oishi-Tomiyasu, Ryoko Universal sums of generalized heptagonal numbers. (English) Zbl 07679891 J. Number Theory 249, 500-536 (2023). MSC: 11E25 11E45 11F27 11F11 PDF BibTeX XML Cite \textit{R. Kamaraj} et al., J. Number Theory 249, 500--536 (2023; Zbl 07679891) Full Text: DOI arXiv OpenURL
Cai, Yuanqing; Friedberg, Solomon; Gourevitch, Dmitry; Kaplan, Eyal The generalized doubling method: \((k,c)\) models. (English) Zbl 07679773 Proc. Am. Math. Soc. 151, No. 7, 2831-2845 (2023). MSC: 11F70 11F55 11F66 22E50 22E55 PDF BibTeX XML Cite \textit{Y. Cai} et al., Proc. Am. Math. Soc. 151, No. 7, 2831--2845 (2023; Zbl 07679773) Full Text: DOI arXiv OpenURL
Mieda, Yoichi Lefschetz trace formula and \(\ell\)-adic cohomology of Rapoport-Zink tower for \(\mathrm{GSp}(4)\). (English) Zbl 07673788 Math. Ann. 385, No. 1-2, 131-192 (2023). MSC: 14G35 11F70 22E50 PDF BibTeX XML Cite \textit{Y. Mieda}, Math. Ann. 385, No. 1--2, 131--192 (2023; Zbl 07673788) Full Text: DOI arXiv OpenURL
Mascot, Nicolas Explicit computation of a Galois representation attached to an eigenform over \(\mathrm{SL}_3\) from the \(\mathrm{H}_{\mathrm{\'et}}^2\) of a surface. (English) Zbl 07673614 Found. Comput. Math. 23, No. 2, 519-543 (2023). MSC: 11Y40 11F80 14F20 11F55 11Y70 14Q10 14Q05 14H40 14J27 PDF BibTeX XML Cite \textit{N. Mascot}, Found. Comput. Math. 23, No. 2, 519--543 (2023; Zbl 07673614) Full Text: DOI arXiv OpenURL
Mamo, Daniel A newform theory for mod-\(p\) Katz modular forms. (English) Zbl 07673418 Ramanujan J. 60, No. 4, 861-884 (2023). MSC: 11F03 11F11 11F30 11F80 PDF BibTeX XML Cite \textit{D. Mamo}, Ramanujan J. 60, No. 4, 861--884 (2023; Zbl 07673418) Full Text: DOI OpenURL
Mondal, Amiya Kumar; Nadimpalli, Santosh On the duality involution for \(p\)-adic general spin groups. (English) Zbl 07672963 J. Number Theory 248, 1-13 (2023). MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{A. K. Mondal} and \textit{S. Nadimpalli}, J. Number Theory 248, 1--13 (2023; Zbl 07672963) Full Text: DOI OpenURL
Büyükboduk, Kâzım; Sakamoto, Ryotaro \(\mathcal{L}\)-invariants, \(p\)-adic heights, and factorization of \(p\)-adic \(L\)-functions. (English) Zbl 07672843 Int. Math. Res. Not. 2023, No. 4, 2867-2943 (2023). MSC: 11G40 11R23 11F67 11F80 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{R. Sakamoto}, Int. Math. Res. Not. 2023, No. 4, 2867--2943 (2023; Zbl 07672843) Full Text: DOI arXiv OpenURL
Cléry, Fabien; van der Geer, Gerard Generating Picard modular forms by means of invariant theory. (English) Zbl 07672390 Pure Appl. Math. Q. 19, No. 1, 95-147 (2023). Reviewer: Martin Raum (Gothenburg) MSC: 11F46 11F70 14J15 PDF BibTeX XML Cite \textit{F. Cléry} and \textit{G. van der Geer}, Pure Appl. Math. Q. 19, No. 1, 95--147 (2023; Zbl 07672390) Full Text: DOI arXiv OpenURL
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A. Potential automorphy over CM fields. (English) Zbl 07668527 Ann. Math. (2) 197, No. 3, 897-1113 (2023). Reviewer: Lei Yang (Beijing) MSC: 11-01 11G18 14-01 14G05 14G35 PDF BibTeX XML Cite \textit{P. B. Allen} et al., Ann. Math. (2) 197, No. 3, 897--1113 (2023; Zbl 07668527) Full Text: DOI arXiv OpenURL
Kret, Arno; Shin, Sug Woo Galois representations for general symplectic groups. (English) Zbl 07665040 J. Eur. Math. Soc. (JEMS) 25, No. 1, 75-152 (2023). Reviewer: Lei Yang (Beijing) MSC: 11R39 11F70 11F80 11G18 PDF BibTeX XML Cite \textit{A. Kret} and \textit{S. W. Shin}, J. Eur. Math. Soc. (JEMS) 25, No. 1, 75--152 (2023; Zbl 07665040) Full Text: DOI arXiv OpenURL
Gan, Wee Teck; Savin, Gordan Howe duality and dichotomy for exceptional theta correspondences. (English) Zbl 07662553 Invent. Math. 232, No. 1, 1-78 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F27 11F70 22E50 PDF BibTeX XML Cite \textit{W. T. Gan} and \textit{G. Savin}, Invent. Math. 232, No. 1, 1--78 (2023; Zbl 07662553) Full Text: DOI arXiv OpenURL
Gao, Fan \(R\)-group and Whittaker space of some genuine representations. (English) Zbl 07662117 J. Inst. Math. Jussieu 22, No. 1, 213-273 (2023). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{F. Gao}, J. Inst. Math. Jussieu 22, No. 1, 213--273 (2023; Zbl 07662117) Full Text: DOI arXiv OpenURL
Qian, Lie Potential automorphy for \(\mathrm{GL}_n\). (English) Zbl 07661777 Invent. Math. 231, No. 3, 1239-1275 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11F80 11F11 11F70 11G05 PDF BibTeX XML Cite \textit{L. Qian}, Invent. Math. 231, No. 3, 1239--1275 (2023; Zbl 07661777) Full Text: DOI arXiv OpenURL
Yang, Liyang Arithmetic distribution of tempered components of cuspidal representations of \(\mathrm{GL}(3)\). (English) Zbl 07661318 Math. Z. 303, No. 3, Paper No. 66, 19 p. (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F66 22E55 PDF BibTeX XML Cite \textit{L. Yang}, Math. Z. 303, No. 3, Paper No. 66, 19 p. (2023; Zbl 07661318) Full Text: DOI OpenURL
Raghuram, A. An arithmetic property of intertwining operators for \(p\)-adic groups. (English) Zbl 07658634 Can. J. Math. 75, No. 1, 83-107 (2023). MSC: 22E50 22E55 11F67 11F70 PDF BibTeX XML Cite \textit{A. Raghuram}, Can. J. Math. 75, No. 1, 83--107 (2023; Zbl 07658634) Full Text: DOI arXiv OpenURL
Kaplan, Eyal; Lau, Jing Feng; Liu, Baiying Local descent to quasi-split even general spin groups. (English) Zbl 07657291 Math. Z. 303, No. 3, Paper No. 69, 29 p. (2023). MSC: 11F70 22E50 11F85 22E55 PDF BibTeX XML Cite \textit{E. Kaplan} et al., Math. Z. 303, No. 3, Paper No. 69, 29 p. (2023; Zbl 07657291) Full Text: DOI OpenURL
Anandavardhanan, U. K.; Matringe, Nadir Distinction inside \(L\)-packets of \(\mathrm{SL}(n)\). (English) Zbl 07656405 Algebra Number Theory 17, No. 1, 45-82 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E50 11F67 PDF BibTeX XML Cite \textit{U. K. Anandavardhanan} and \textit{N. Matringe}, Algebra Number Theory 17, No. 1, 45--82 (2023; Zbl 07656405) Full Text: DOI arXiv OpenURL
Chen, Shih-Yu On Deligne’s conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms. (English) Zbl 07656373 Adv. Math. 414, Article ID 108860, 79 p. (2023). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F67 11F70 11F75 PDF BibTeX XML Cite \textit{S.-Y. Chen}, Adv. Math. 414, Article ID 108860, 79 p. (2023; Zbl 07656373) Full Text: DOI arXiv OpenURL
Mondal, Arghya \({A_{\mathfrak{q}}} \)-components of geometric classes in compact Hermitian locally symmetric spaces. (English) Zbl 07655222 Kyoto J. Math. 63, No. 1, 51-66 (2023). MSC: 22E40 11F67 PDF BibTeX XML Cite \textit{A. Mondal}, Kyoto J. Math. 63, No. 1, 51--66 (2023; Zbl 07655222) Full Text: DOI arXiv Link OpenURL
Heyer, Claudius On the decomposition of Hecke polynomials over parabolic Hecke algebras. (English. French summary) Zbl 07654310 J. Théor. Nombres Bordx. 34, No. 3, 941-997 (2023). MSC: 11F27 11F67 20C08 20G25 PDF BibTeX XML Cite \textit{C. Heyer}, J. Théor. Nombres Bordx. 34, No. 3, 941--997 (2023; Zbl 07654310) Full Text: DOI arXiv OpenURL
Matringe, Nadir Local distinction, quadratic base change and automorphic induction for \(\mathrm{GL}_n\). (English. French summary) Zbl 07654308 J. Théor. Nombres Bordx. 34, No. 3, 903-916 (2023). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{N. Matringe}, J. Théor. Nombres Bordx. 34, No. 3, 903--916 (2023; Zbl 07654308) Full Text: DOI arXiv OpenURL
Gao, Fan; Shahidi, Freydoon; Szpruch, Dani Local coefficients and gamma factors for principal series of covering groups. (English) Zbl 07653280 Memoirs of the American Mathematical Society 1399. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5681-8/pbk; 978-1-4704-7400-3/ebook). v, 135 p. (2023). Reviewer: Ivan Matić (Osijek) MSC: 11-02 11F70 22E50 PDF BibTeX XML Cite \textit{F. Gao} et al., Local coefficients and gamma factors for principal series of covering groups. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07653280) Full Text: DOI arXiv OpenURL
Boyer, Pascal Local Ihara’s lemma and applications. (English. French summary) Zbl 07652767 Int. Math. Res. Not. 2023, No. 2, 1514-1571 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{P. Boyer}, Int. Math. Res. Not. 2023, No. 2, 1514--1571 (2023; Zbl 07652767) Full Text: DOI arXiv OpenURL
Gurevich, Maxim A triangular system for local character expansions of Iwahori-spherical representations of general linear groups. (English. French summary) Zbl 07652635 C. R., Math., Acad. Sci. Paris 361, 21-30 (2023). Reviewer: Bin Xu (Beijing) MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{M. Gurevich}, C. R., Math., Acad. Sci. Paris 361, 21--30 (2023; Zbl 07652635) Full Text: DOI arXiv OpenURL
Miagkov, Konstantin; Thorne, Jack A. Automorphy lifting with adequate image. (English) Zbl 07651237 Forum Math. Sigma 11, Paper No. e8, 31 p. (2023). MSC: 11F80 11F70 PDF BibTeX XML Cite \textit{K. Miagkov} and \textit{J. A. Thorne}, Forum Math. Sigma 11, Paper No. e8, 31 p. (2023; Zbl 07651237) Full Text: DOI arXiv OpenURL
Kim, Kyoungmin Diagonal quinary quadratic forms with a strong regularity property. (English) Zbl 07650792 J. Number Theory 246, 1-14 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E45 PDF BibTeX XML Cite \textit{K. Kim}, J. Number Theory 246, 1--14 (2023; Zbl 07650792) Full Text: DOI OpenURL
Boyer, Pascal Galois irreducibility implies cohomology freeness for KHT Shimura varieties. (L’irréductibilité Galoisienne implique la liberté cohomologique pour les variétés de Shimura de type KHT.) (English. French summary) Zbl 07648356 J. Éc. Polytech., Math. 10, 199-232 (2023). MSC: 11F70 11F80 11F85 11G18 20C08 PDF BibTeX XML Cite \textit{P. Boyer}, J. Éc. Polytech., Math. 10, 199--232 (2023; Zbl 07648356) Full Text: DOI arXiv OpenURL
Mahnkopf, J. Book review of: V. Snaith, Derived Langlands. Monomial resolutions of admissible representations. (English) Zbl 1503.00010 Monatsh. Math. 200, No. 1, 193-194 (2023). MSC: 00A17 11-02 11F70 11F85 22E50 20G05 PDF BibTeX XML Cite \textit{J. Mahnkopf}, Monatsh. Math. 200, No. 1, 193--194 (2023; Zbl 1503.00010) Full Text: DOI OpenURL
Zemel, Shaul Integral bases and invariant vectors for Weil representations. (English) Zbl 07643755 Res. Number Theory 9, No. 1, Paper No. 5, 27 p. (2023). MSC: 11F27 11F55 PDF BibTeX XML Cite \textit{S. Zemel}, Res. Number Theory 9, No. 1, Paper No. 5, 27 p. (2023; Zbl 07643755) Full Text: DOI arXiv OpenURL
Jiang, Yujiao; Lü, Guangshi; Thorner, Jesse; Wang, Zihao A Bombieri-Vinogradov theorem for higher-rank groups. (English) Zbl 07643733 Int. Math. Res. Not. 2023, No. 1, 482-535 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F70 11F67 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Int. Math. Res. Not. 2023, No. 1, 482--535 (2023; Zbl 07643733) Full Text: DOI arXiv OpenURL
Chan, Kei Yuen Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\). (English) Zbl 07643513 Math. Z. 303, No. 2, Paper No. 45, 25 p. (2023). Reviewer: Qing Zhang (Wuhan) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{K. Y. Chan}, Math. Z. 303, No. 2, Paper No. 45, 25 p. (2023; Zbl 07643513) Full Text: DOI arXiv OpenURL
Weissauer, Rainer Exceptional poles of local \(L\)-functions for GSp(4) with respect to split Bessel models. (English) Zbl 07635394 J. Number Theory 243, 518-560 (2023). MSC: 11F70 22E50 20G05 PDF BibTeX XML Cite \textit{R. Weissauer}, J. Number Theory 243, 518--560 (2023; Zbl 07635394) Full Text: DOI OpenURL
Leslie, Spencer A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case. (English) Zbl 07635392 J. Number Theory 243, 475-494 (2023). MSC: 11F70 11F72 22E50 PDF BibTeX XML Cite \textit{S. Leslie}, J. Number Theory 243, 475--494 (2023; Zbl 07635392) Full Text: DOI OpenURL
Bernstein, Joseph; Reznikov, Andre Periods and global invariants of automorphic representations. (English) Zbl 07635382 J. Number Theory 243, 117-159 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F67 11F70 PDF BibTeX XML Cite \textit{J. Bernstein} and \textit{A. Reznikov}, J. Number Theory 243, 117--159 (2023; Zbl 07635382) Full Text: DOI arXiv OpenURL
Luo, Zhilin; Pi, Qinghua; Wu, Han Bias of root numbers for Hilbert newforms of cubic level. (English) Zbl 07635381 J. Number Theory 243, 62-116 (2023). MSC: 11F41 11F72 11F70 PDF BibTeX XML Cite \textit{Z. Luo} et al., J. Number Theory 243, 62--116 (2023; Zbl 07635381) Full Text: DOI arXiv OpenURL
Yamauchi, Takuya The weight reduction of mod \(p\) Siegel modular forms for \(GSp_4\) and theta operators. (English) Zbl 07630811 Math. Z. 303, No. 1, Paper No. 10, 60 p. (2023). MSC: 11F46 11F33 11F80 PDF BibTeX XML Cite \textit{T. Yamauchi}, Math. Z. 303, No. 1, Paper No. 10, 60 p. (2023; Zbl 07630811) Full Text: DOI arXiv OpenURL
Lei, Antonio; Ray, Jishnu Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes. (English) Zbl 07629731 Res. Math. Sci. 10, No. 1, Paper No. 1, 25 p. (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F70 11F80 11F67 PDF BibTeX XML Cite \textit{A. Lei} and \textit{J. Ray}, Res. Math. Sci. 10, No. 1, Paper No. 1, 25 p. (2023; Zbl 07629731) Full Text: DOI arXiv OpenURL
Bennett, Michael A.; Siksek, Samir Differences between perfect powers: the Lebesgue-Nagell equation. (English) Zbl 07618833 Trans. Am. Math. Soc. 376, No. 1, 335-370 (2023). MSC: 11D61 11D41 11F80 11F03 PDF BibTeX XML Cite \textit{M. A. Bennett} and \textit{S. Siksek}, Trans. Am. Math. Soc. 376, No. 1, 335--370 (2023; Zbl 07618833) Full Text: DOI arXiv OpenURL
Benois, Denis; Büyükboduk, Kâzım On the exceptional zeros of \(p\)-non-ordinary \(p\)-adic \(L\)-functions and a conjecture of Perrin-Riou. (English) Zbl 07618831 Trans. Am. Math. Soc. 376, No. 1, 231-284 (2023). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11R23 11F67 11F80 11F33 PDF BibTeX XML Cite \textit{D. Benois} and \textit{K. Büyükboduk}, Trans. Am. Math. Soc. 376, No. 1, 231--284 (2023; Zbl 07618831) Full Text: DOI arXiv OpenURL
Cunningham, Clifton; Fiori, Andrew; Kitt, Nicole Appearance of the Kashiwara-Saito singularity in the representation theory of \(p\)-adic \(\mathrm{GL}(16)\). (English) Zbl 07666946 Pac. J. Math. 321, No. 2, 239-282 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E50 32S30 32S60 PDF BibTeX XML Cite \textit{C. Cunningham} et al., Pac. J. Math. 321, No. 2, 239--282 (2022; Zbl 07666946) Full Text: DOI arXiv OpenURL
Yu, Hongjie A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. (English) Zbl 07660886 Pac. J. Math. 321, No. 1, 193-237 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11R58 PDF BibTeX XML Cite \textit{H. Yu}, Pac. J. Math. 321, No. 1, 193--237 (2022; Zbl 07660886) Full Text: DOI arXiv OpenURL
Cai, Yuanqing; Friedberg, Solomon; Kaplan, Eyal The generalized doubling method: local theory. (English) Zbl 07648706 Geom. Funct. Anal. 32, No. 6, 1233-1333 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F55 11F66 22E50 22E55 PDF BibTeX XML Cite \textit{Y. Cai} et al., Geom. Funct. Anal. 32, No. 6, 1233--1333 (2022; Zbl 07648706) Full Text: DOI OpenURL
Atobe, Hiraku; Kondo, Satoshi; Yasuda, Seidai Local newforms for the general linear groups over a non-Archimedean local field. (English) Zbl 07647029 Forum Math. Pi 10, Paper No. e24, 56 p. (2022). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{H. Atobe} et al., Forum Math. Pi 10, Paper No. e24, 56 p. (2022; Zbl 07647029) Full Text: DOI arXiv OpenURL
Thorne, Jack A. On the vanishing of adjoint Bloch-Kato Selmer groups of irreducible automorphic Galois representations. (English) Zbl 07642348 Pure Appl. Math. Q. 18, No. 5, 2159-2202 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F80 PDF BibTeX XML Cite \textit{J. A. Thorne}, Pure Appl. Math. Q. 18, No. 5, 2159--2202 (2022; Zbl 07642348) Full Text: DOI arXiv OpenURL
Gross, Benedict H. The road to GGP. (English) Zbl 07642347 Pure Appl. Math. Q. 18, No. 5, 2131-2157 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 22E50 11F66 PDF BibTeX XML Cite \textit{B. H. Gross}, Pure Appl. Math. Q. 18, No. 5, 2131--2157 (2022; Zbl 07642347) Full Text: DOI OpenURL
Frăţilă, Dragoş; Prasad, Dipendra Homological duality for covering groups of reductive \(p\)-adic groups. (English) Zbl 07642345 Pure Appl. Math. Q. 18, No. 5, 1867-1950 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{D. Frăţilă} and \textit{D. Prasad}, Pure Appl. Math. Q. 18, No. 5, 1867--1950 (2022; Zbl 07642345) Full Text: DOI arXiv OpenURL
Li-Huerta, Siyan Daniel The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields. (English) Zbl 07640152 Algebra Number Theory 16, No. 9, 2119-2214 (2022). Reviewer: Kenta Suzuki (Cambridge) MSC: 11F70 11S37 11G09 PDF BibTeX XML Cite \textit{S. D. Li-Huerta}, Algebra Number Theory 16, No. 9, 2119--2214 (2022; Zbl 07640152) Full Text: DOI arXiv OpenURL
Kozioł, Karol; Morra, Stefano Serre weight conjectures for \(p\)-adic unitary groups of rank 2. (English) Zbl 07640150 Algebra Number Theory 16, No. 9, 2005-2097 (2022). Reviewer: Neven Grbac (Pula) MSC: 11F80 11F33 11F55 20C33 PDF BibTeX XML Cite \textit{K. Kozioł} and \textit{S. Morra}, Algebra Number Theory 16, No. 9, 2005--2097 (2022; Zbl 07640150) Full Text: DOI arXiv OpenURL
Raghuram, A. Notes on the arithmetic of Hecke \(L\)-functions. (English) Zbl 07632525 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 71, 37 p. (2022). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F66 11F70 11F75 20G05 22E50 22E55 PDF BibTeX XML Cite \textit{A. Raghuram}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 71, 37 p. (2022; Zbl 07632525) Full Text: DOI arXiv OpenURL
Choi, Dohoon; Lee, Youngmin The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\). (English) Zbl 07629727 Res. Math. Sci. 9, No. 4, Paper No. 65, 47 p. (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F37 11F67 11F80 PDF BibTeX XML Cite \textit{D. Choi} and \textit{Y. Lee}, Res. Math. Sci. 9, No. 4, Paper No. 65, 47 p. (2022; Zbl 07629727) Full Text: DOI OpenURL
Hundley, Joseph; Miller, Stephen D. On Arthur’s unitarity conjecture for split real groups. (English) Zbl 07629502 Am. J. Math. 144, No. 6, 1561-1600 (2022). Reviewer: Jan Frahm (Århus) MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{J. Hundley} and \textit{S. D. Miller}, Am. J. Math. 144, No. 6, 1561--1600 (2022; Zbl 07629502) Full Text: arXiv Link OpenURL
Chenevier, Gaëtan Statistics for Kneser \(p\)-neighbors. (English) Zbl 07628565 Bull. Soc. Math. Fr. 150, No. 3, 473-516 (2022). MSC: 11F46 11F55 11F70 11F72 11F80 11G40 11H06 11R39 11Y55 22C05 PDF BibTeX XML Cite \textit{G. Chenevier}, Bull. Soc. Math. Fr. 150, No. 3, 473--516 (2022; Zbl 07628565) Full Text: DOI arXiv OpenURL
Torti, Emiliano On congruences between lattices in crystalline representations of \(\mathrm{Gal}(\overline{\mathbb{Q}}_p,\mathbb{Q}_p)\) of dimension two. (English) Zbl 07626424 Rend. Semin. Mat., Univ. Politec. Torino 80, No. 1, 87-95 (2022). MSC: 11F80 11F70 14G22 13F20 PDF BibTeX XML Cite \textit{E. Torti}, Rend. Semin. Mat., Univ. Politec. Torino 80, No. 1, 87--95 (2022; Zbl 07626424) Full Text: Link OpenURL
Blomer, Valentin; Harcos, Gergely; Maga, Péter; Milićević, Djordje Beyond the spherical sup-norm problem. (English. French summary) Zbl 1508.11062 J. Math. Pures Appl. (9) 168, 1-64 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F72 11F41 11F70 11J25 22E30 43A90 PDF BibTeX XML Cite \textit{V. Blomer} et al., J. Math. Pures Appl. (9) 168, 1--64 (2022; Zbl 1508.11062) Full Text: DOI arXiv OpenURL
Sirolli, Nicolás; Tornaría, Gonzalo Effective construction of Hilbert modular forms of half-integral weight. (English) Zbl 07619457 Math. Z. 302, No. 4, 2513-2543 (2022). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F37 11F12 11F27 11F30 11F41 11F67 11F70 PDF BibTeX XML Cite \textit{N. Sirolli} and \textit{G. Tornaría}, Math. Z. 302, No. 4, 2513--2543 (2022; Zbl 07619457) Full Text: DOI arXiv OpenURL
Chen, Guohua; Lau, Yuk-Kam; Wang, Yingnan On Selberg’s limit theorem for \(L\)-functions over a family of \(\mathrm{GL} (n)\) Hecke-Maass cusp forms. (English) Zbl 1505.11077 Ramanujan J. 59, No. 4, 1171-1195 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F70 11F12 PDF BibTeX XML Cite \textit{G. Chen} et al., Ramanujan J. 59, No. 4, 1171--1195 (2022; Zbl 1505.11077) Full Text: DOI OpenURL
Agnihotri, R.; Vaishya, L. A note on holomorphic generalized eta quotient. (English) Zbl 07614053 Acta Math. Hung. 167, No. 2, 393-403 (2022). MSC: 11E25 11F11 11F30 11E20 PDF BibTeX XML Cite \textit{R. Agnihotri} and \textit{L. Vaishya}, Acta Math. Hung. 167, No. 2, 393--403 (2022; Zbl 07614053) Full Text: DOI OpenURL
Cai, Li; Fan, Yangyu Top degree Ext-groups and relatively supercuspidal spectra. (English) Zbl 07613377 Adv. Math. 410 A, Article ID 108744, 25 p. (2022). Reviewer: Goran Muić (Zagreb) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{L. Cai} and \textit{Y. Fan}, Adv. Math. 410 A, Article ID 108744, 25 p. (2022; Zbl 07613377) Full Text: DOI arXiv OpenURL
Prasad, Dipendra; Raghunathan, Ravi Relations between cusp forms sharing Hecke eigenvalues. (English) Zbl 07612832 Represent. Theory 26, 1063-1079 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{D. Prasad} and \textit{R. Raghunathan}, Represent. Theory 26, 1063--1079 (2022; Zbl 07612832) Full Text: DOI arXiv OpenURL
Ganapathy, Radhika A Hecke algebra isomorphism over close local fields. (English) Zbl 1503.22018 Pac. J. Math. 319, No. 2, 307-332 (2022). MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{R. Ganapathy}, Pac. J. Math. 319, No. 2, 307--332 (2022; Zbl 1503.22018) Full Text: DOI arXiv OpenURL
Budde, Christian; Kreulich, Josef Application of abstract semigroup theory to the asymptotic behavior of \(C_0\)-semigroups. (English) Zbl 07609790 Complex Anal. Oper. Theory 16, No. 7, Paper No. 105, 52 p. (2022). MSC: 47D06 34G10 43A60 43A65 PDF BibTeX XML Cite \textit{C. Budde} and \textit{J. Kreulich}, Complex Anal. Oper. Theory 16, No. 7, Paper No. 105, 52 p. (2022; Zbl 07609790) Full Text: DOI OpenURL
de Frutos-Fernández, María Inés Moduli spaces of shtukas over the projective line. (English. French summary) Zbl 1504.14021 J. Théor. Nombres Bordx. 34, No. 2, 393-418 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 14D24 11G09 14H60 11G18 11R39 14D05 11F70 PDF BibTeX XML Cite \textit{M. I. de Frutos-Fernández}, J. Théor. Nombres Bordx. 34, No. 2, 393--418 (2022; Zbl 1504.14021) Full Text: DOI arXiv OpenURL
Torti, Emiliano Local constancy for reductions of two-dimensional crystalline representations. (English. French summary) Zbl 1506.11084 J. Théor. Nombres Bordx. 34, No. 2, 345-370 (2022). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11F80 11F70 14G22 13F20 PDF BibTeX XML Cite \textit{E. Torti}, J. Théor. Nombres Bordx. 34, No. 2, 345--370 (2022; Zbl 1506.11084) Full Text: DOI arXiv OpenURL
Raum, Martin Relations among Ramanujan-type congruences. I. (English) Zbl 1505.11073 Adv. Math. 409 B, Article ID 108668, 47 p. (2022). Reviewer: Goran Muić (Zagreb) MSC: 11F33 11F30 PDF BibTeX XML Cite \textit{M. Raum}, Adv. Math. 409 B, Article ID 108668, 47 p. (2022; Zbl 1505.11073) Full Text: DOI arXiv OpenURL
Waibel, Fabian Uniform bounds for norms of theta series and arithmetic applications. (English) Zbl 1508.11049 Math. Proc. Camb. Philos. Soc. 173, No. 3, 669-691 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 11F30 11P05 11N37 PDF BibTeX XML Cite \textit{F. Waibel}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 669--691 (2022; Zbl 1508.11049) Full Text: DOI arXiv OpenURL
Kim, Kyoungmin; Oh, Byeong-Kweon A sum of squares not divisible by a prime. (English) Zbl 07603205 Ramanujan J. 59, No. 3, 653-670 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11E45 PDF BibTeX XML Cite \textit{K. Kim} and \textit{B.-K. Oh}, Ramanujan J. 59, No. 3, 653--670 (2022; Zbl 07603205) Full Text: DOI arXiv OpenURL
Tadić, Marko On unitarizability and Arthur packets. (English) Zbl 07602948 Manuscr. Math. 169, No. 3-4, 327-367 (2022). MSC: 22E50 11F70 11S37 PDF BibTeX XML Cite \textit{M. Tadić}, Manuscr. Math. 169, No. 3--4, 327--367 (2022; Zbl 07602948) Full Text: DOI arXiv OpenURL
Disegni, Daniel The universal \(p\)-adic Gross-Zagier formula. (English) Zbl 07601286 Invent. Math. 230, No. 2, 509-649 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G18 11R23 11F67 11G05 11F80 PDF BibTeX XML Cite \textit{D. Disegni}, Invent. Math. 230, No. 2, 509--649 (2022; Zbl 07601286) Full Text: DOI arXiv OpenURL
Martin, Kimball Exact double averages of twisted \(L\)-values. (English) Zbl 07600590 Math. Z. 302, No. 3, 1821-1854 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 11F41 11F70 11R52 PDF BibTeX XML Cite \textit{K. Martin}, Math. Z. 302, No. 3, 1821--1854 (2022; Zbl 07600590) Full Text: DOI arXiv OpenURL
Hellmann, Eugen; Margerin, Christophe M.; Schraen, Benjamin Density of automorphic points in deformation rings of polarized global Galois representations. (English) Zbl 07600549 Duke Math. J. 171, No. 13, 2699-2752 (2022). MSC: 11F80 11F70 PDF BibTeX XML Cite \textit{E. Hellmann} et al., Duke Math. J. 171, No. 13, 2699--2752 (2022; Zbl 07600549) Full Text: DOI arXiv OpenURL
Clozel, Laurent Universal minoration of certain quadratic integrals of automorphic \(L\) functions. (Minoration universelle de certaines intégrales quadratiques des fonctions \(L\) automorphes.) (French. Abridged English version) Zbl 07600076 C. R., Math., Acad. Sci. Paris 360, 1087-1092 (2022). Reviewer: Wen-Wei Li (Beijing) MSC: 11F66 11M99 PDF BibTeX XML Cite \textit{L. Clozel}, C. R., Math., Acad. Sci. Paris 360, 1087--1092 (2022; Zbl 07600076) Full Text: DOI OpenURL
Horinaga, Shuji; Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf The special values of the standard \(L\)-functions for \(\operatorname{GSp}_{2n} \times \operatorname{GL}_1\). (English) Zbl 07599875 Trans. Am. Math. Soc. 375, No. 10, 6947-6982 (2022). MSC: 11F46 11F67 11F70 PDF BibTeX XML Cite \textit{S. Horinaga} et al., Trans. Am. Math. Soc. 375, No. 10, 6947--6982 (2022; Zbl 07599875) Full Text: DOI arXiv OpenURL
Gross, Benedict H. Simple supercuspidals and the Langlands correspondence. (English) Zbl 1508.11061 Mich. Math. J. 72, 449-463 (2022). Reviewer: Kenta Suzuki (Cambridge) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{B. H. Gross}, Mich. Math. J. 72, 449--463 (2022; Zbl 1508.11061) Full Text: DOI arXiv Link OpenURL
Miyazaki, Tadashi Automorphic pairs of distributions on \(\mathbb{R}\) and Maass forms of real weight. (English) Zbl 1497.11125 Funct. Approximatio, Comment. Math. 67, No. 1, 77-143 (2022). MSC: 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{T. Miyazaki}, Funct. Approximatio, Comment. Math. 67, No. 1, 77--143 (2022; Zbl 1497.11125) Full Text: DOI arXiv OpenURL
Wong, Peng-Jie Refinements of strong multiplicity one for \(\mathrm{GL}(2)\). (English) Zbl 1506.11081 Math. Res. Lett. 29, No. 2, 559-598 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F30 PDF BibTeX XML Cite \textit{P.-J. Wong}, Math. Res. Lett. 29, No. 2, 559--598 (2022; Zbl 1506.11081) Full Text: DOI arXiv OpenURL
Zou, Jiandi Supercuspidal representations of \(\mathrm{GL}_n(F)\) distinguished by a unitary involution. (English. French summary) Zbl 07594381 Bull. Soc. Math. Fr. 150, No. 2, 393-458 (2022). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E50 11F70 20C20 PDF BibTeX XML Cite \textit{J. Zou}, Bull. Soc. Math. Fr. 150, No. 2, 393--458 (2022; Zbl 07594381) Full Text: DOI arXiv OpenURL
Dijols, Sarah The generalized injectivity conjecture. (English. French summary) Zbl 07594379 Bull. Soc. Math. Fr. 150, No. 2, 251-345 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{S. Dijols}, Bull. Soc. Math. Fr. 150, No. 2, 251--345 (2022; Zbl 07594379) Full Text: DOI arXiv OpenURL
Matić, Ivan Irreducibility criteria for the generalized principal series of unitary groups. (English) Zbl 1505.22005 Proc. Am. Math. Soc. 150, No. 11, 5009-5021 (2022). Reviewer: Moshe Adrian (New York) MSC: 22E35 22E50 11F70 PDF BibTeX XML Cite \textit{I. Matić}, Proc. Am. Math. Soc. 150, No. 11, 5009--5021 (2022; Zbl 1505.22005) Full Text: DOI OpenURL
Gao, Fan R-group and Whittaker space of some genuine representations. II. (English) Zbl 07590356 Res. Number Theory 8, No. 3, Paper No. 62, 15 p. (2022). Reviewer: Dongwen Liu (Zhejiang) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{F. Gao}, Res. Number Theory 8, No. 3, Paper No. 62, 15 p. (2022; Zbl 07590356) Full Text: DOI OpenURL
Kuan, Chan Ieong; Lesesvre, Didier Quadratic twists of central values for \(\mathrm{GL}(3)\). (English) Zbl 07589730 Q. J. Math. 73, No. 3, 991-1034 (2022). Reviewer: Gyujin Oh (New York) MSC: 11F67 11F70 11F30 11F66 PDF BibTeX XML Cite \textit{C. I. Kuan} and \textit{D. Lesesvre}, Q. J. Math. 73, No. 3, 991--1034 (2022; Zbl 07589730) Full Text: DOI arXiv OpenURL
Berger, Tobias; Betina, Adel On Siegel eigenvarieties at Saito-Kurokawa points. (Les variétés de Hecke pour aux points de Saito-Kurokawa.) (English. French summary) Zbl 07589407 Ann. Inst. Fourier 72, No. 3, 901-961 (2022). MSC: 11F33 11F46 11F80 14G22 PDF BibTeX XML Cite \textit{T. Berger} and \textit{A. Betina}, Ann. Inst. Fourier 72, No. 3, 901--961 (2022; Zbl 07589407) Full Text: DOI arXiv OpenURL
Chiriac, Liubomir; Yang, Liyang Summing Hecke eigenvalues over polynomials. (English) Zbl 07585670 Math. Z. 302, No. 2, 643-662 (2022). Reviewer: Hongjie Yu (Rehovot ) MSC: 11F30 11F70 11N36 PDF BibTeX XML Cite \textit{L. Chiriac} and \textit{L. Yang}, Math. Z. 302, No. 2, 643--662 (2022; Zbl 07585670) Full Text: DOI OpenURL
Clozel, Laurent On the Eisenstein functoriality in cohomology for maximal parabolic subgroups. (English) Zbl 07584624 Sel. Math., New Ser. 28, No. 4, Paper No. 80, 26 p. (2022). Reviewer: Neven Grbac (Pula) MSC: 11F75 11F67 11F70 22E41 PDF BibTeX XML Cite \textit{L. Clozel}, Sel. Math., New Ser. 28, No. 4, Paper No. 80, 26 p. (2022; Zbl 07584624) Full Text: DOI arXiv OpenURL
Jakob, Konstantin; Yun, Zhiwei Euphotic representations and rigid automorphic data. (English) Zbl 1501.22007 Sel. Math., New Ser. 28, No. 4, Paper No. 76, 73 p. (2022). Reviewer: Kenta Suzuki (Cambridge) MSC: 22E57 11F70 14D24 PDF BibTeX XML Cite \textit{K. Jakob} and \textit{Z. Yun}, Sel. Math., New Ser. 28, No. 4, Paper No. 76, 73 p. (2022; Zbl 1501.22007) Full Text: DOI arXiv OpenURL
Henniart, Guy; Vignéras, Marie-France Representations of a reductive \(p\)-adic group in characteristic distinct from \(p\). (English) Zbl 07584409 Tunis. J. Math. 4, No. 2, 249-305 (2022). MSC: 11F55 22E50 PDF BibTeX XML Cite \textit{G. Henniart} and \textit{M.-F. Vignéras}, Tunis. J. Math. 4, No. 2, 249--305 (2022; Zbl 07584409) Full Text: DOI arXiv OpenURL
Boyer, Pascal Ihara lemma and level raising in higher dimension. (English) Zbl 07582191 J. Inst. Math. Jussieu 21, No. 5, 1701-1726 (2022). MSC: 11G18 11F70 11F80 20C08 11F85 PDF BibTeX XML Cite \textit{P. Boyer}, J. Inst. Math. Jussieu 21, No. 5, 1701--1726 (2022; Zbl 07582191) Full Text: DOI arXiv OpenURL
Jiang, Dihua; Luo, Zhilin Certain Fourier operators on \(\operatorname{GL}_1\) and local Langlands gamma functions. (English) Zbl 1506.11074 Pac. J. Math. 318, No. 2, 339-374 (2022). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F66 43A32 46S10 11F70 22E50 43A80 PDF BibTeX XML Cite \textit{D. Jiang} and \textit{Z. Luo}, Pac. J. Math. 318, No. 2, 339--374 (2022; Zbl 1506.11074) Full Text: DOI arXiv OpenURL
Morales-Salgado, Vicente Said An affine Weyl group characterization of polynomial Heisenberg algebras. (English) Zbl 1502.81038 Ann. Phys. 444, Article ID 169037, 11 p. (2022). MSC: 81Q60 81S05 35R03 11F68 34M55 37K35 81R05 PDF BibTeX XML Cite \textit{V. S. Morales-Salgado}, Ann. Phys. 444, Article ID 169037, 11 p. (2022; Zbl 1502.81038) Full Text: DOI arXiv OpenURL
Walji, Nahid On the decomposition of symmetric powers of automorphic representations for \(\mathrm{GL}(3)\) and \(\mathrm{GL}(4)\). (English) Zbl 07575699 J. Number Theory 241, 297-313 (2022). Reviewer: Bin Xu (Beijing) MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{N. Walji}, J. Number Theory 241, 297--313 (2022; Zbl 07575699) Full Text: DOI arXiv OpenURL
Wu, Chenyan Periods and \((\chi,b)\)-factors of cuspidal automorphic forms of metaplectic groups. (English) Zbl 1505.11082 J. Number Theory 241, 262-296 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F55 11F66 PDF BibTeX XML Cite \textit{C. Wu}, J. Number Theory 241, 262--296 (2022; Zbl 1505.11082) Full Text: DOI arXiv OpenURL
Zou, Jiandi Supercuspidal representations of \(\mathrm{GL}_n(F)\) distinguished by an orthogonal involution. (English) Zbl 07575689 J. Number Theory 241, 1-56 (2022). Reviewer: Dongwen Liu (Zhejiang) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{J. Zou}, J. Number Theory 241, 1--56 (2022; Zbl 07575689) Full Text: DOI arXiv OpenURL