HosseiniJafari, Farid Eisenstein Cohomology and Critical Values of Certain \(L\)-Functions: The Case \(G_2\). arXiv:2501.03546 Preprint, arXiv:2501.03546 [math.NT] (2025). MSC: 11F67 11F66 11F70 11F75 20G05 22E50 × Cite Format Result Cite Full Text: arXiv
Dalal, Rahul Counting discrete, level-1, quaternionic automorphic representations on \(G_2\). (English) Zbl 07943184 J. Inst. Math. Jussieu 23, No. 5, 2127-2157 (2024). MSC: 11F55 11F70 11F72 11F75 20G41 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kret, Arno; Shin, Sug Woo Galois representations for even general special orthogonal groups. (English) Zbl 07943181 J. Inst. Math. Jussieu 23, No. 5, 1959-2050 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R39 11G18 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grbac, Neven; Grobner, Harald Some unexpected phenomena in the Franke filtration of the space of automorphic forms of the general linear group. (English) Zbl 07940921 Isr. J. Math. 263, No. 1, 301-347 (2024). MSC: 11F70 11F75 22E55 11F67 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jun Actions of cusp forms on holomorphic discrete series and von Neumann algebras. (English) Zbl 07939013 Adv. Math. 457, Article ID 109912, 53 p. (2024). MSC: 22E46 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jian-Shu; Liu, Dongwen; Sun, Binyong Period relations for Rankin-Selberg convolutions for \({\mathrm{GL}}(n)\times{\mathrm{GL}}(n-1)\). (English) Zbl 07922970 Compos. Math. 160, No. 8, 1871-1915 (2024). MSC: 11F67 11F70 11F75 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ash, Avner; Yasaki, Dan The cuspidal cohomology of \(\mathrm{GL}_3/\mathbb Q\) and cubic fields. (English) Zbl 07902824 Int. J. Number Theory 20, No. 7, 1681-1699 (2024). MSC: 11F67 11F75 20J06 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chao; Rapoport, Michael; Zhang, Wei Arithmetic fundamental lemma for the spherical Hecke algebra. (English) Zbl 07901737 Manuscr. Math. 175, No. 1-2, 1-51 (2024). Reviewer: Lei Yang (Beijing) MSC: 11G18 11F70 14C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehrmann, Lennart; Pati, Maria Rosaria L-invariants for cohomological representations of \(\mathrm{PGL}(2)\) over arbitrary number fields. (English) Zbl 07862238 Forum Math. Sigma 12, Paper No. e71, 27 p. (2024). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F41 11F33 11F75 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilu, Yuri F.; Gun, Sanoli; Naik, Sunil L. On a non-Archimedean analogue of a question of Atkin and Serre. (English) Zbl 07850201 Math. Ann. 389, No. 2, 1323-1350 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F11 11F30 11F80 11N56 11N05 11N36 11R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zuffetti, Riccardo Unfolding and injectivity of the Kudla-Millson lift of genus 1. (English) Zbl 07841449 Math. Z. 307, No. 1, Paper No. 10, 28 p. (2024). MSC: 11F55 11F27 14G35 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hara, Takashi; Namikawa, Kenichi A motivic interpretation of Whittaker periods for \(\mathrm{GL}_n\). (English) Zbl 07835539 Manuscr. Math. 174, No. 1-2, 303-353 (2024). Reviewer: Ivan Matić (Osijek) MSC: 11F67 11F75 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorodnik, Alexander; Nevo, Amos Discrepancy of rational points in simple algebraic groups. (English) Zbl 07825741 Compos. Math. 160, No. 4, 836-877 (2024). Reviewer: Florian Pausinger (Lisbon) MSC: 11K38 11J83 37A17 11F70 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Česnavičius, Kęstutis; Neururer, Michael; Saha, Abhishek The Manin constant and the modular degree. (English) Zbl 07815222 J. Eur. Math. Soc. (JEMS) 26, No. 2, 573-637 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11F11 11F30 11F70 11F85 11G18 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ding; Zhou, Haigang Siegel Eisenstein series of level two and its applications. (English) Zbl 07797216 J. Algebra Appl. 23, No. 5, Article ID 2450086, 16 p. (2024). MSC: 11F46 11F27 11E12 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Tony; Yun, Zhiwei; Zhang, Wei Higher Siegel-Weil formula for unitary groups: the non-singular terms. (English) Zbl 07790855 Invent. Math. 235, No. 2, 569-668 (2024). MSC: 11F72 11F67 11F70 14D23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strömberg, Fredrik On liftings of modular forms and Weil representations. (English) Zbl 07790379 Forum Math. 36, No. 1, 33-52 (2024). MSC: 11F03 11F11 11F06 11F37 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Michel, Philippe; Ramakrishnan, Dinakar; Yang, Liyang Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions. arXiv:2411.12609 Preprint, arXiv:2411.12609 [math.NT] (2024). MSC: 11F70 11G99 11F66 × Cite Format Result Cite Full Text: arXiv OA License
Berndt, Rolf Round about Kudla’s Green function for \(\textrm{SO}(3,2)\). arXiv:2409.18627 Preprint, arXiv:2409.18627 [math.NT] (2024). MSC: 14G35 11F46 11F27 14C25 11G18 × Cite Format Result Cite Full Text: arXiv
Marcil, David \(p\)-adic \(L\)-functions for \(P\)-ordinary Hida families on unitary groups. arXiv:2409.03783 Preprint, arXiv:2409.03783 [math.NT] (2024). MSC: 11F33 11F55 11F67 11F70 11F85 11S40 11F03 11F30 11G18 11R23 14G10 × Cite Format Result Cite Full Text: arXiv OA License
Droschl, Johannes Critical values of \(L\)-functions of residual representations of \(\mathrm{GL}_4\). arXiv:2407.13464 Preprint, arXiv:2407.13464 [math.NT] (2024). MSC: 11F67 11F70 11F75 × Cite Format Result Cite Full Text: arXiv OA License
Darshan, Nasit; Raghuram, A. Cuspidal cohomology for \(GL(n)\) over a number field. arXiv:2407.10859 Preprint, arXiv:2407.10859 [math.NT] (2024). MSC: 11F75 11F70 22E41 22E55 × Cite Format Result Cite Full Text: arXiv OA License
Januszewski, Fabian Locally algebraic representations and integral structures on the cohomology of arithmetic groups. arXiv:2404.03955 Preprint, arXiv:2404.03955 [math.NT] (2024). MSC: 11F75 11F67 11F70 × Cite Format Result Cite Full Text: arXiv OA License
Jin, Yubo; Yan, Pan Cohomology classes, periods, and special values of Rankin-Selberg \(L\)-functions. arXiv:2403.18154 Preprint, arXiv:2403.18154 [math.NT] (2024). MSC: 11F67 11F70 11F75 22E55 × Cite Format Result Cite Full Text: arXiv OA License
Fraczyk, Mikolaj; Gorodnik, Alexander; Nevo, Amos Automorphic density estimates and optimal Diophantine exponents. arXiv:2402.15875 Preprint, arXiv:2402.15875 [math.NT] (2024). MSC: 37P55 22E46 11J83 11F70 × Cite Format Result Cite Full Text: arXiv
Bajpai, Jitendra; Cavicchi, Mattia Relative Lie algebra cohomology of SU(2,1) and Eisenstein classes on Picard surfaces. arXiv:2402.00757 Preprint, arXiv:2402.00757 [math.NT] (2024). MSC: 11G40 14G35 11F75 11F70 14D07 × Cite Format Result Cite Full Text: arXiv OA License
Yang, Yuji An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields. (English) Zbl 07946713 Math. Res. Lett. 30, No. 6, 1963-1978 (2023). MSC: 11F70 11F80 11F55 11G18 14G05 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caraiani, Ana The cohomology of Shimura varieties with torsion coefficients. (English) Zbl 1533.11116 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1744-1766 (2023). MSC: 11G18 11R39 11F33 11F70 11F75 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
Khare, Chandrashekhar; Ronchetti, Niccoló Derived Hecke action at \(p\) and the ordinary \(p\)-adic cohomology of arithmetic manifolds. (English) Zbl 07791552 Am. J. Math. 145, No. 6, 1631-1694 (2023). Reviewer: Pham Huu Tiep (Piscataway) MSC: 11F75 11R34 22E40 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruggeman, Roelof W.; Miatello, Roberto J. Representations of \(\mathrm{SU}(2,1)\) in Fourier term modules. (English) Zbl 1543.11001 Lecture Notes in Mathematics 2340. Cham: Springer (ISBN 978-3-031-43191-3/pbk; 978-3-031-43192-0/ebook). xi, 210 p. (2023). Reviewer: Audrey A. Terras (La Jolla) MSC: 11-02 11F30 11F11 11F03 11F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Julia Q. D.; Tang, Dazhao Vanishing coefficients in quotients of theta functions with odd moduli. (English) Zbl 1536.11075 Int. J. Number Theory 19, No. 10, 2451-2481 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11F27 11B65 30B10 05A15 11F03 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Kieu Hieu A PEL case of the Kottwitz conjecture. (Un cas PEL de la conjecture de Kottwitz.) (French. English summary) Zbl 1548.11087 Ann. Inst. Fourier 73, No. 6, 2239-2304 (2023). MSC: 11F70 11F80 11F85 11G18 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Shih-Yu Algebraicity of the central critical values of twisted triple product \(L\)-functions. (English. French summary) Zbl 1546.11072 Ann. Math. Qué. 47, No. 2, 403-442 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11F67 11F66 11F70 11F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuil, Christophe; Herzig, Florian; Hu, Yongquan; Morra, Stefano; Schraen, Benjamin Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \). (English) Zbl 1537.11077 Invent. Math. 234, No. 1, 1-128 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R52 11F33 11F70 22E50 11S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Branchereau, Romain Diagonal restriction of Eisenstein series and Kudla-Millson theta lift. (English) Zbl 1537.11056 Forum Math. 35, No. 5, 1373-1418 (2023). Reviewer: Siu Hang Man (Praha) MSC: 11F27 11F30 11F03 11F11 11G18 11F41 14C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ichino, Atsushi; Prasanna, Kartik Hodge classes and the Jacquet-Langlands correspondence. (English) Zbl 07738517 Forum Math. Pi 11, Paper No. e22, 135 p. (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F27 11F70 11F41 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boyer, Pascal The cohomology of Lubin-Tate spaces is free. (La cohomologie des espaces de Lubin-Tate est libre.) (French. English summary) Zbl 1533.14039 Duke Math. J. 172, No. 8, 1531-1622 (2023). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 14L05 11F80 11F55 11F70 11G10 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Bajpai, Jitendra; Horozov, Ivan; Moya Giusti, Matias Euler characteristic and cohomology of \(\mathrm{Sp}_4 (\mathbb{Z})\) with nontrivial coefficients. (English) Zbl 1540.11055 Eur. J. Math. 9, No. 3, Paper No. 47, 53 p. (2023). MSC: 11F75 11F70 11F06 11F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Huafeng Notes on general divisor problems related to Maass cusp forms. (English) Zbl 1549.11154 Period. Math. Hung. 86, No. 2, 552-563 (2023). MSC: 11N37 11F30 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
Lemma, Francesco; Ochiai, Tadashi Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\). (English) Zbl 1531.11047 Kyoto J. Math. 63, No. 2, 281-333 (2023). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F33 11F46 11F67 11F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link HAL
Kamber, Amitay; Lavner, Hagai Optimal lifting for the projective action of \(\mathrm{SL}_3(\mathbb{Z})\). (English) Zbl 1534.11054 Algebra Number Theory 17, No. 3, 749-774 (2023). Reviewer: Subhajit Jana (London) MSC: 11F06 11F72 22E46 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mascot, Nicolas Explicit computation of a Galois representation attached to an eigenform over \(\mathrm{SL}_3\) from the \(\mathrm{H}_{\text{ét}}^2\) of a surface. (English) Zbl 1518.11091 Found. Comput. Math. 23, No. 2, 519-543 (2023). Reviewer: Lei Yang (Beijing) MSC: 11Y40 11F80 14F20 11F55 11Y70 14Q10 14Q05 14H40 14J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kret, Arno; Shin, Sug Woo Galois representations for general symplectic groups. (English) Zbl 1519.11064 J. Eur. Math. Soc. (JEMS) 25, No. 1, 75-152 (2023). Reviewer: Lei Yang (Beijing) MSC: 11R39 11F70 11F80 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertoloni Meli, Alexander; Nguyen, Kieu Hieu The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces. (English) Zbl 1537.11071 J. Reine Angew. Math. 796, 1-68 (2023). Reviewer: G. K. Sankaran (Bath) MSC: 11F70 11G18 11S37 14G35 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Shih-Yu On Deligne’s conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms. (English) Zbl 1522.11041 Adv. Math. 414, Article ID 108860, 79 p. (2023). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F67 11F70 11F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ash, Avner; Yasaki, Dan Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields. (English) Zbl 1514.20197 J. Number Theory 246, 49-86 (2023). MSC: 20J06 11F67 11F75 20G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1530.11050 J. Éc. Polytech., Math. 10, 199-232 (2023). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F70 11F80 11F85 11G18 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jia-Wei; Wei, Fu-Tsun On CM masses over global function fields. (English) Zbl 1525.11067 Math. Z. 303, No. 2, Paper No. 29, 38 p. (2023). Reviewer: Ma Luo (Oxford) MSC: 11G18 11R58 11R29 11F30 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Metzler, Ingmar; Zuffetti, Riccardo Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces. arXiv:2312.00572 Preprint, arXiv:2312.00572 [math.NT] (2023). MSC: 11G18 11F03 14G35 11F27 11F30 × Cite Format Result Cite Full Text: arXiv OA License
Zhang, Robin The Harris-Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture. arXiv:2305.08956 Preprint, arXiv:2305.08956 [math.NT] (2023). MSC: 11R42 11F41 11F67 11F70 11F75 22E55 × Cite Format Result Cite Full Text: arXiv OA License
Li-Huerta, Siyan Daniel Local-global compatibility over function fields. arXiv:2301.09711 Preprint, arXiv:2301.09711 [math.NT] (2023). MSC: 11F70 11G18 11G09 × Cite Format Result Cite Full Text: arXiv
Yu, Hongjie A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. (English) Zbl 1520.11053 Pac. J. Math. 321, No. 1, 193-237 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raghuram, A. Notes on the arithmetic of Hecke \(L\)-functions. (English) Zbl 1515.11050 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Kimball Exact double averages of twisted \(L\)-values. (English) Zbl 1518.11041 Math. Z. 302, No. 3, 1821-1854 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 11F41 11F70 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clozel, Laurent On the Eisenstein functoriality in cohomology for maximal parabolic subgroups. (English) Zbl 1511.11055 Sel. Math., New Ser. 28, No. 4, Paper No. 80, 26 p. (2022). Reviewer: Neven Grbac (Pula) MSC: 11F75 11F67 11F70 22E41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boyer, Pascal Ihara lemma and level raising in higher dimension. (English) Zbl 1529.11081 J. Inst. Math. Jussieu 21, No. 5, 1701-1726 (2022). Reviewer: Hongjie Yu (Rehovot ) MSC: 11G18 11F70 11F80 20C08 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jia-Wei; Wei, Fu-Tsun On class number relations and intersections over function fields. (English) Zbl 1504.11123 Doc. Math. 27, 1321-1368 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R29 11F30 11G18 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertoloni Meli, Alexander The cohomology of unramified Rapoport-Zink spaces of EL-type and Harris’s conjecture. (English) Zbl 1503.11093 J. Inst. Math. Jussieu 21, No. 4, 1163-1218 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11G18 14G35 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Qirui A proof of the linear arithmetic fundamental lemma for \(\operatorname{GL}_4\). (English) Zbl 1540.11054 Can. J. Math. 74, No. 2, 381-427 (2022). MSC: 11F70 11G99 14C17 14C25 × Cite Format Result Cite Review PDF Full Text: DOI
Gehrmann, Lennart; Rosso, Giovanni Big principal series, \(p\)-adic families and \(\mathcal{L}\)-invariants. (English) Zbl 1500.11041 Compos. Math. 158, No. 2, 409-436 (2022). Reviewer: Fabian Januszewski (Paderborn) MSC: 11F55 11F33 11F70 11F75 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bajpai, Jitendra; Guan, Lifan Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\). (English) Zbl 1494.11051 Res. Math. Sci. 9, No. 2, Paper No. 21, 30 p. (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F75 11F70 11F22 11F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karasiewicz, Edmund A splitting into the double cover of SL\((3,\mathbb{R})\). (English) Zbl 1493.11084 Ramanujan J. 57, No. 4, 1489-1515 (2022). Reviewer: Caihua Luo (Göteborg) MSC: 11F06 11F27 11F68 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalal, Rahul Sato-Tate equidistribution for families of automorphic representations through the stable trace formula. (English) Zbl 1496.11071 Algebra Number Theory 16, No. 1, 59-137 (2022). Reviewer: Didier Lesesvre (Lille) MSC: 11F55 11F70 11F72 11F75 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Dongxi Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas. (English) Zbl 1483.14045 Sci. China, Math. 65, No. 2, 221-258 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14G35 11F03 11F27 11F41 11G15 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pollack, Aaron The minimal modular form on quaternionic \(E_8\). (English) Zbl 1483.11070 J. Inst. Math. Jussieu 21, No. 2, 603-636 (2022). MSC: 11F03 11F30 20G41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalal, Rahul; Gerbelli-Gauthier, Mathilde Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification. arXiv:2212.12138 Preprint, arXiv:2212.12138 [math.NT] (2022). MSC: 11F70 11F72 11F75 22E50 × Cite Format Result Cite Full Text: arXiv
Buium, Alexandru; Vasiu, Adrian The \(\delta\)-invariant theory of Hecke correspondences on \(\mathcal A_g\). arXiv:2208.00286 Preprint, arXiv:2208.00286 [math.NT] (2022). MSC: 11E04 11F06 11F46 11F55 11F60 11F99 11G10 11G15 11G18 14G35 14K02 14K99 14L24 14L30 14L35 14R10 14R20 15A15 15A18 15A24 15A69 15A72 20C20 20G05 × Cite Format Result Cite Full Text: arXiv OA License
Raghuram, A. Eisenstein Cohomology for GL(N) and the special values of Rankin-Selberg L-functions over a totally imaginary number field. arXiv:2207.03393 Preprint, arXiv:2207.03393 [math.NT] (2022). MSC: 11F67 11F66 11F70 11F75 20G05 22E50 × Cite Format Result Cite Full Text: arXiv
Qiu, Congling Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu). arXiv:2204.13457 Preprint, arXiv:2204.13457 [math.NT] (2022). MSC: 11G18 11F12 11F27 14G40 × Cite Format Result Cite Full Text: arXiv OA License
Bajpai, Jitendra; Cavicchi, Mattia Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces. arXiv:2203.16435 Preprint, arXiv:2203.16435 [math.NT] (2022). MSC: 11G40 14G35 11F75 11F70 14D07 × Cite Format Result Cite Full Text: arXiv
Zhang, Xiaoyu Non-vanishing mod \(p\) of theta lifts. arXiv:2203.05359 Preprint, arXiv:2203.05359 [math.NT] (2022). MSC: 11F06 11F27 11F46 × Cite Format Result Cite Full Text: arXiv
Kriz, Daniel J. Supersingular \(p\)-adic \(L\)-functions, Maass-Shimura operators and Waldspurger formulas. (English) Zbl 1521.11001 Annals of Mathematics Studies 212. Princeton, NJ: Princeton University Press (ISBN 978-0-691-21647-8/hbk; 978-0-691-21646-1/pbk; 978-0-691-22573-9/ebook). xv, 258 p. (2021). Reviewer: Ivan Matić (Osijek) MSC: 11-01 11F66 11F70 11G18 11Mxx 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Kudla, Stephen S. Remarks on generating series for special cycles on orthogonal Shimura varieties. (English) Zbl 1489.14017 Algebra Number Theory 15, No. 10, 2403-2447 (2021). MSC: 14C25 11F27 11F46 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huyghe, Christine; Schmidt, Tobias Intermediate extensions and crystalline distribution algebras. (English) Zbl 1492.14031 Doc. Math. 26, 2005-2059 (2021). Reviewer: Daxin Xu (Beijing) MSC: 14F10 14F30 11F70 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hara, Takashi; Namikawa, Kenichi A cohomological interpretation of Archimedean zeta integrals for \(\mathrm{GL}_3\times\mathrm{GL}_2\). (English) Zbl 1495.11067 Res. Number Theory 7, No. 4, Paper No. 68, 52 p. (2021). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F67 11F75 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Labesse, Jean-Pierre The Langlands spectral decomposition. (English) Zbl 1500.11045 Mueller, Julia (ed.) et al., The genesis of the Langlands program. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 467, 176-214 (2021). Reviewer: Laurent Guillopé (Nantes) MSC: 11F70 11M36 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hu, Yongquan Multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) and \(\mod p\) representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\). (English) Zbl 1487.11054 J. Eur. Math. Soc. (JEMS) 23, No. 11, 3625-3678 (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F75 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehrmann, Lennart Automorphic \(\mathcal{L} \)-invariants for reductive groups. (English) Zbl 1482.11076 J. Reine Angew. Math. 779, 57-103 (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F55 11F75 11F85 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikolaev, Igor V. Langlands reciprocity for \(C^\ast \)-algebras. (English) Zbl 1469.11147 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 515-528 (2021). MSC: 11F70 46L85 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harris, Michael Shimura varieties for unitary groups and the doubling method. (English) Zbl 1475.11125 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 217-251 (2021). MSC: 11G18 11F70 22E50 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Labesse, Jean-Pierre; Schwermer, Joachim Corrigendum to: “On the cuspidal cohomology of \(S\)-arithmetic subgroups of reductive groups over number fields”. (English) Zbl 1467.11055 Compos. Math. 157, No. 6, 1207-1210 (2021). MSC: 11F75 11F70 11F72 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wei Weil representation and arithmetic fundamental lemma. (English) Zbl 1486.11059 Ann. Math. (2) 193, No. 3, 863-978 (2021). Reviewer: Zhengyu Mao (Newark) MSC: 11F27 11F67 11G40 14C25 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ichino, Atsushi; Prasanna, Kartik Periods of quaternionic Shimura varieties. I. (English) Zbl 1479.11001 Contemporary Mathematics 762. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4894-3/pbk; 978-1-4704-6418-9/ebook). vi, 214 p. (2021). Reviewer: Lei Yang (Beijing) MSC: 11-02 11F27 11F41 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freixas i Montplet, Gerard The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence. (English) Zbl 1458.14034 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 403-432 (2021). MSC: 14G40 11F70 22E50 14-01 × Cite Format Result Cite Review PDF Full Text: DOI
Ash, Avner; Yasaki, Dan Steinberg homology, modular forms, and real quadratic fields. (English) Zbl 1484.11126 J. Number Theory 224, 323-367 (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander The Laplace transform of the second moment in the Gauss circle problem. (English) Zbl 1470.11244 Algebra Number Theory 15, No. 1, 1-27 (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 11N37 11F30 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dillery, Peter Rigid inner forms over global function fields. arXiv:2110.10820 Preprint, arXiv:2110.10820 [math.RT] (2021). MSC: 11R39 11F70 11R58 11E72 11S37 14F20 18F20 × Cite Format Result Cite Full Text: arXiv OA License
Qiu, Congling Modularity and Heights of CM cycles on Kuga-Sato varieties. arXiv:2105.12561 Preprint, arXiv:2105.12561 [math.NT] (2021). MSC: 11G18 11G40 11F12 11F27 11F72 × Cite Format Result Cite Full Text: arXiv OA License
Ntienjem, Ebénézer Convolution sums engaging 1st and 5th powers of divisor functions and derived new identities. (English) Zbl 1522.11005 J. Comb. Number Theory 12, No. 3, 265-326 (2020). MSC: 11A25 11F11 11F30 11E20 11E25 11F20 11F27 × Cite Format Result Cite Review PDF
Hieu, Nguyen Kieu Adic shtukas, modifications and applications. (Shtukas adiques, modifications et applications.) (French. English summary) Zbl 1472.11160 Bull. Soc. Math. Fr. 148, No. 4, 623-650 (2020). MSC: 11F70 11F80 11F85 11G18 20C08 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Bruinier, Jan H.; Howard, Benjamin; Kudla, Stephen S.; Pera, Keerthi Madapusi; Rapoport, Michael; Yang, Tonghai Arithmetic divisors on orthogonal and unitary Shimura varieties. (English) Zbl 1485.11004 Astérisque 421. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-927-2/pbk). 297 p. (2020). Reviewer: Lei Yang (Beijing) MSC: 11-02 11F27 11F55 11G18 14-02 14G35 14G40 × Cite Format Result Cite Review PDF Full Text: DOI
Mieda, Yoichi Arthur’s classification and its applications. (Japanese. English summary) Zbl 1453.11067 RIMS Kôkyûroku Bessatsu B77, 75-126 (2020). MSC: 11F70 11F72 11F80 11G18 14G35 22E50 22E55 11-02 × Cite Format Result Cite Review PDF Full Text: Link
Grobner, Harald; Sachdeva, Gunja Relations of rationality for special values of Rankin-Selberg \(L\)-functions of \(\mathrm{GL}_n \times \mathrm{GL}_m\) over CM-fields. (English) Zbl 1469.11135 Pac. J. Math. 308, No. 2, 281-305 (2020). MSC: 11F67 11F70 11G18 11R39 22E55 × Cite Format Result Cite Review PDF Full Text: DOI
Blanco-Chacón, Iván; Fornea, Michele Twisted triple product \(p\)-adic \(L\)-functions and Hirzebruch-Zagier cycles. (English) Zbl 1465.11128 J. Inst. Math. Jussieu 19, No. 6, 1947-1992 (2020). MSC: 11F67 11G18 11F41 11F33 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Essouabri, Driss On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 1471.11250 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. Adv. Stud. Pure Math. 84, 23-64 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 11N37 11M32 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11P21 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Li, Yingkun; Yang, Tonghai On a conjecture of Yui and Zagier. (English) Zbl 1469.11190 Algebra Number Theory 14, No. 8, 2197-2238 (2020). MSC: 11G15 11G18 11F03 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambi, Chaitanya On the growth of cuspidal cohomology of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\). (English) Zbl 1465.11134 J. Number Theory 217, 237-255 (2020). MSC: 11F70 11F75 × Cite Format Result Cite Review PDF Full Text: DOI
Johansson, Christian; Thorne, Jack A. On subquotients of the étale cohomology of Shimura varieties. (English) Zbl 1469.11197 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 306-333 (2020). MSC: 11G18 14G35 14F20 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv