Das, Jishu A lower bound for the discrepancy in a Sato-Tate type measure. (English) Zbl 07932500 Ramanujan J. 65, No. 2, 637-658 (2024). MSC: 11F25 11F72 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popov, Dmitri A. Voronoi’s formulae and the Gauss problem. (English. Russian original) Zbl 07891392 Russ. Math. Surv. 79, No. 1, 59-134 (2024); translation from Usp. Mat. Nauk 79, No. 1, 59-134 (2024). MSC: 11F72 11P21 11P55 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Assing, Edgar; Blomer, Valentin The density conjecture for principal congruence subgroups. (English) Zbl 07875268 Duke Math. J. 173, No. 7, 1359-1426 (2024). MSC: 11F72 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shin, Sug Woo Weak transfer from classical groups to general linear groups. (English) Zbl 07874593 Essent. Number Theory 3, No. 1, 19-62 (2024). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F72 11R39 × Cite Format Result Cite Review PDF Full Text: DOI
Wong, Tian An A vertical Sato-Tate law for \(\mathrm{GL}(4)\). (English) Zbl 07873270 Arch. Math. 123, No. 1, 19-28 (2024). MSC: 11F55 11F72 11F30 × Cite Format Result Cite Review PDF Full Text: DOI
Clayton, Archer; Dai, Helen; Ni, Tianyu; Xue, Hui; Zummo, Jake Nonvanishing of second coefficients of Hecke polynomials. (English) Zbl 07865944 J. Number Theory 262, 186-221 (2024). MSC: 11F25 11F72 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Bian, Ce; Booker, Andrew R.; Docherty, Austin; Jacobson, Michael J. jun.; Seymour-Howell, Andrei Unconditional computation of the class groups of real quadratic fields. (English) Zbl 1539.11153 Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 29-53 (2024). MSC: 11Y40 11F12 11R11 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Frączyk, Mikolaj; Harcos, Gergely; Maga, Péter; Milićević, Djordje The density hypothesis for horizontal families of lattices. (English) Zbl 07791559 Am. J. Math. 146, No. 1, 107-160 (2024). Reviewer: Zhengyu Mao (Newark) MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahajan, Jewel; Sinha, Kaneenika Higher moments of the pair correlation function for Sato-Tate sequences. (English) Zbl 07786317 J. Number Theory 257, 24-97 (2024). MSC: 11F11 11F25 11F30 11K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maga, Péter; Zábrádi, Gergely The sup-norm problem for automorphic cusp forms of \(\mathrm{PGL}(n,\mathbb{Z}[i])\). (English) Zbl 07783129 Proc. Am. Math. Soc. 152, No. 2, 559-572 (2024). MSC: 11F55 11F72 11D75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsushima, Takahiro Trace formulae for actions of finite unitary groups on cohomology of Artin-Schreier varieties. (English) Zbl 1526.20020 J. Algebra 638, 129-152 (2024). MSC: 20C33 14F20 11F27 14J50 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Maiti, Gopal; Mallesham, Kummari Simultaneous non-vanishing of central values of \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 07765128 J. Number Theory 255, 62-84 (2024). Reviewer: Guangshi Lü (Jinan) MSC: 11F67 11F67 11F72 11F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shin, Sug Woo Points on Shimura varieties modulo primes. (English) Zbl 1533.11118 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). 1966-1988 (2023). MSC: 11G18 11F72 11R39 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Beuzart-Plessis, Raphaël Relative trace formulae and the Gan-Gross-Prasad conjectures. (English) Zbl 1540.11053 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). 1712-1743 (2023). MSC: 11F70 22E50 22E55 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Bénard, Léo; Frahm, Jan; Spilioti, Polyxeni The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion. (Fonction zêta de Ruelle pour les orbifolds hyperboliques de dimension 2 et torsion de Reidemeister-Turaev.) (English. French summary) Zbl 1544.11077 J. Éc. Polytech., Math. 10, 1391-1439 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11M36 11F72 37C30 57Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnick, Zeév; Wigman, Igor On the central limit theorem for linear eigenvalue statistics on random surfaces of large genus. (English) Zbl 1532.60044 J. Anal. Math. 151, No. 1, 293-302 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 11F72 30F60 58J50 60G55 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flicker, Yuval Z.; Özkan, Engin Local systems with tame, and a unipotent, local monodromy. (English) Zbl 1539.11148 São Paulo J. Math. Sci. 17, No. 2, 465-482 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11S37 11R39 11F70 11F72 22E35 22E55 11G20 14H30 × Cite Format Result Cite Review PDF Full Text: DOI
Rudnick, Zeév GOE statistics on the moduli space of surfaces of large genus. (English) Zbl 1531.32017 Geom. Funct. Anal. 33, No. 6, 1581-1607 (2023). MSC: 32G15 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wong, Tian An Zeroes of Rankin-Selberg \(L\)-functions and the trace formula. (English) Zbl 1540.11047 J. Ramanujan Math. Soc. 38, No. 4, 393-403 (2023). Reviewer: David Lowry-Duda (Providence) MSC: 11F66 11M36 11F72 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Balkanova, O. G. Spectral decomposition formula and moments of symmetric square \(L\)-functions. (English. Russian original) Zbl 1537.11067 Izv. Math. 87, No. 4, 641-682 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 4, 3-46 (2023). Reviewer: Audrey A. Terras (La Jolla) MSC: 11F66 11M36 11F72 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Wu, Xiaosheng The fourth moment of Dirichlet \(L\)-functions at the central value. (English) Zbl 1534.11107 Math. Ann. 387, No. 3-4, 1199-1248 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zou, Jiandi Local metaplectic correspondence and applications. (English) Zbl 07755554 Math. Z. 305, No. 3, Paper No. 43, 33 p. (2023). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F70 22E50 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qin, Huan; Ye, Yang Bo Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms. (English) Zbl 07753774 Acta Math. Sin., Engl. Ser. 39, No. 9, 1667-1683 (2023). MSC: 11F30 11F37 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Valverde, Cesar A fundamental lemma between the symplectic and the metaplectic group: the non-split case. (English) Zbl 1538.11132 JP J. Algebra Number Theory Appl. 60, No. 1, 19-37 (2023). MSC: 11F72 11F70 22E55 × Cite Format Result Cite Review PDF Full Text: DOI
Buttcane, Jack On sums of hyper-Kloosterman sums. (English) Zbl 1527.11064 Forum Math. 35, No. 4, 939-973 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11F72 11F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wyman, Emmett L.; Xi, Yakun A two term Kuznecov sum formula. (English) Zbl 1517.58010 Commun. Math. Phys. 401, No. 2, 1127-1162 (2023). MSC: 58J50 58J40 35P20 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin Density theorems for \(\mathrm{GL}(n)\). (English) Zbl 1530.11052 Invent. Math. 232, No. 2, 683-711 (2023). Reviewer: Wen-Wei Li (Beijing) MSC: 11F72 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Booker, Andrew R.; Farmer, Michael; Lee, Min An extension of Venkatesh’s converse theorem to the Selberg class. (English) Zbl 1526.11016 Forum Math. Sigma 11, Paper No. e26, 10 p. (2023). Reviewer: Thomas Oliver (London) MSC: 11F11 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asgari, Mahdi; Kaveh, Kiumars On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties. (English) Zbl 1522.11044 Can. J. Math. 75, No. 2, 375-420 (2023). MSC: 11F72 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leslie, Spencer A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case. (English) Zbl 1528.11037 J. Number Theory 243, 475-494 (2023). Reviewer: Bin Xu (Chengdu) MSC: 11F70 11F72 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Zhilin; Pi, Qinghua; Wu, Han Bias of root numbers for Hilbert newforms of cubic level. (English) Zbl 1525.11050 J. Number Theory 243, 62-116 (2023). MSC: 11F41 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frahm, Jan; Spilioti, Polyxeni Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. (English) Zbl 1511.11074 J. Number Theory 243, 38-61 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11M36 11F72 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomez, Kevin; Lakein, Kaya; Larsen, Anne Supersingular loci from traces of Hecke operators. (English) Zbl 1515.11045 Proc. Am. Math. Soc. 151, No. 2, 511-525 (2023). MSC: 11F33 11G07 11G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Man, Siu Hang A density theorem for \(\mathrm{Sp}(4)\). (English) Zbl 1539.11079 J. Lond. Math. Soc., II. Ser. 105, No. 4, 2047-2075 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F72 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ono, Ken; Saad, Hasan Some Eichler-Selberg trace formulas. (English) Zbl 1521.11026 Hardy-Ramanujan J. 45, 94-107 (2022). Reviewer: Zeynep Demirkol Özkaya (Van) MSC: 11F11 11F37 × Cite Format Result Cite Review PDF Full Text: Link
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
Kaneko, Ikuya The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i])\) and spectral exponential sums. (English) Zbl 1512.11065 Algebra Number Theory 16, No. 8, 1845-1887 (2022). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M36 11F72 11L05 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jiseong On sums of Hecke eigenvalue squares over primes in very short intervals. (English) Zbl 1512.11042 Acta Arith. 205, No. 4, 309-321 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11F30 11N05 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seymour-Howell, Andrei Rigorous computation of Maass cusp forms of squarefree level. (English) Zbl 1498.11242 Res. Number Theory 8, No. 4, Paper No. 83, 15 p. (2022). MSC: 11Y35 11F72 11F37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bismut, Jean-Michel; Shen, Shu Geometric orbital integrals and the center of the enveloping algebra. (English) Zbl 1503.22008 Compos. Math. 158, No. 6, 1189-1253 (2022). Reviewer: Kai Köhler (Düsseldorf) MSC: 22E30 11F72 58J20 22E46 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hanisch, Florian; Strohmaier, Alexander; Waters, Alden A relative trace formula for obstacle scattering. (English) Zbl 1496.35269 Duke Math. J. 171, No. 11, 2233-2274 (2022). MSC: 35P25 35J25 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fortier Bourque, Maxime; Petri, Bram Kissing numbers of closed hyperbolic manifolds. (English) Zbl 1507.53041 Am. J. Math. 144, No. 4, 1067-1085 (2022). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53C22 32Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cai, Li; Xu, Bin Isolation of the cuspidal spectrum: the function field case. (English) Zbl 1502.11057 Sci. China, Math. 65, No. 7, 1331-1342 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buttcane, Jack The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case. (English) Zbl 1535.11080 Algebra Number Theory 16, No. 3, 567-646 (2022). MSC: 11F72 11F55 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monk, Laura Benjamini-Schramm convergence and spectra of random hyperbolic surfaces of high genus. (English) Zbl 1493.58015 Anal. PDE 15, No. 3, 727-752 (2022). MSC: 58J50 32G15 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Konno, Norio; Mitsuhashi, Hideo; Morita, Hideaki; Sato, Iwao The trace formula with respect to the Grover matrix of a graph. (English) Zbl 1502.11061 Linear Multilinear Algebra 70, No. 10, 1963-1979 (2022). Reviewer: Joshua Friedman (Plainview) MSC: 11F72 05C50 05C81 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Kaneko, Ikuya Motohashi’s formula for the fourth moment of individual Dirichlet \(L\)-functions and applications. (English) Zbl 1496.11114 Forum Math. Sigma 10, Paper No. e41, 43 p. (2022). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11F03 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kıral, Eren Mehmet; Nakasuji, Maki Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums. (English) Zbl 1496.11106 Adv. Math. 403, Article ID 108392, 42 p. (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11F22 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popov, Dmitrii A. Spectrum of the Laplace operator on closed surfaces. (English. Russian original) Zbl 1487.58030 Russ. Math. Surv. 77, No. 1, 81-97 (2022); translation from Usp. Mat. Nauk 77, No. 1, 91-108 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Delorme, Patrick; Harinck, Pascale Relative trace formula for compact quotient and pseudo-coefficients for relative discrete series. (English) Zbl 1495.11070 Int. Math. Res. Not. 2022, No. 7, 5506-5540 (2022). Reviewer: Bin Xu (Beijing) MSC: 11F72 22E45 14L40 20H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Huajie An infinitesimal variant of the Guo-Jacquet trace formula. I: The case of \((\mathrm{GL}_{2n, D}, \mathrm{GL}_{n, D}\times \mathrm{GL}_{n, D})\). (English) Zbl 1493.11092 Doc. Math. 27, 315-381 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F72 20G35 × 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
Chamizo, Fernando The additive problem for the number of representations as a sum of two squares. (English) Zbl 1497.11245 Mediterr. J. Math. 19, No. 1, Paper No. 44, 17 p. (2022). MSC: 11N75 11N37 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Child, Kieran Twist-minimal trace formula for holomorphic cusp forms. (English) Zbl 1492.11101 Res. Number Theory 8, No. 1, Paper No. 11, 27 p. (2022); correction ibid. 8, No. 1, Paper No. 13, 1 p. (2022). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 11F03 11F11 11F30 11F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chatzakos, Dimitrios; Cherubini, Giacomo; Laaksonen, Niko Second moment of the prime geodesic theorem for \(\mathrm{PSL}(2, \mathbb{Z}[i])\). (English) Zbl 1487.11053 Math. Z. 300, No. 1, 791-806 (2022). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11F72 11M36 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Francesco; Lipnowski, Michael The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds. (English) Zbl 1478.57034 J. Am. Math. Soc. 35, No. 1, 233-293 (2022). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57R58 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ibukiyama, Tomoyoshi Some Poisson formula on tube domains. (English) Zbl 1528.11034 Comment. Math. Univ. St. Pauli 69, 43-50 (2021). MSC: 11F55 11F72 17C37 × Cite Format Result Cite Review PDF Full Text: Link
Valverde, Cesar A relative trace formula between the general linear and the metaplectic group. II: Descent. (English) Zbl 1499.11209 JP J. Algebra Number Theory Appl. 50, No. 2, 113-136 (2021). MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
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
Shen, Shu Analytic torsion and dynamical flow: a survey on the Fried conjecture. (English) Zbl 1484.58010 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 247-299 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J20 58J52 11F72 11M36 37C30 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Teo, Lee-Peng Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces. (English) Zbl 1477.30036 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021). MSC: 30F30 11F72 11M36 58J52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matz, Jasmin; Templier, Nicolas Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\). (English) Zbl 1480.11061 Algebra Number Theory 15, No. 6, 1343-1428 (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F70 20G30 33C55 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoffstein, Jeff; Lee, Min; Nastasescu, Maria First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\). (English) Zbl 1487.11048 Res. Number Theory 7, No. 4, Paper No. 60, 44 p. (2021). Reviewer: Thomas Oliver (Nottingham) MSC: 11F67 11M32 11M36 11F66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beuzart-Plessis, Raphaël; Liu, Yifeng; Zhang, Wei; Zhu, Xinwen Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture. (English) Zbl 07395719 Ann. Math. (2) 194, No. 2, 519-584 (2021). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F67 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin The relative trace formula in analytic number theory. (English) Zbl 1483.11101 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 51-73 (2021). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 11F03 11F30 11F66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beuzart-Plessis, Raphaël Archimedean theory and \(\varepsilon\)-factors for the Asai Rankin-Selberg integrals. (English) Zbl 1481.11057 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 1-50 (2021). Reviewer: Salah Mehdi (Metz) MSC: 11F72 11F70 22E50 11F66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jana, Subhajit Applications of analytic newvectors for \(\operatorname{GL}(N)\). (English) Zbl 1486.11067 Math. Ann. 380, No. 3-4, 915-952 (2021). Reviewer: Zhengyu Mao (Newark) MSC: 11F55 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finis, Tobias; Lapid, Erez On the remainder term of the Weyl law for congruence subgroups of Chevalley groups. (English) Zbl 1472.11159 Duke Math. J. 170, No. 4, 653-695 (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F72 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avdispahić, Muharem Effective bounds for Huber’s constant and Faltings’s delta function. (English) Zbl 1475.11101 Math. Comput. 90, No. 331, 2381-2414 (2021). MSC: 11F72 11Y60 14G40 30F35 40E10 × Cite Format Result Cite Review PDF Full Text: DOI
Buttcane, Jack Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). II: The generalized principal series forms. (English) Zbl 1489.11078 Math. Ann. 380, No. 1-2, 231-266 (2021). Reviewer: Joshua Friedman (Plainview) MSC: 11F72 11F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldfeld, Dorian; Stade, Eric; Woodbury, Michael [Huang, Bingrong] An orthogonality relation for \(\text{GL}(4, \mathbb{R})\) (with an appendix by Bingrong Huang). (English) Zbl 1478.11078 Forum Math. Sigma 9, Paper No. e47, 83 p. (2021). MSC: 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clozel, Laurent; Rajan, Conjeeveram S. Solvable base change. (English) Zbl 1485.22020 J. Reine Angew. Math. 772, 147-174 (2021). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E55 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Shu; Yu, Jianqing Morse-Smale flow, Milnor metric, and dynamical zeta function. (Flot de Morse-Smale, métrique de Milnor et fonction zêta dynamique.) (English. French summary) Zbl 1465.37032 J. Éc. Polytech., Math. 8, 585-607 (2021). MSC: 37C30 37D15 58J52 57Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gnutzmann, Sven; Smilansky, Uzy Trace formulas for general Hermitian matrices: unitary scattering approach and periodic orbits on an associated graph. (English) Zbl 1511.81047 J. Phys. A, Math. Theor. 53, No. 3, Article ID 035201, 29 p. (2020). MSC: 81Q10 11F72 15B57 05B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Zhao The second moment of \(\mathrm{GL} (3) \times \mathrm{GL} (2)\) \(L\)-functions at special points from \(\mathrm{GL} (3)\) forms. (English) Zbl 1469.11140 Front. Math. China 15, No. 5, 1071-1088 (2020). MSC: 11F67 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Blomer, Valentin; Buttcane, Jack On the subconvexity problem for \(L\)-functions on \(\mathrm{GL}(3)\). (English) Zbl 1484.11124 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 6, 1441-1500 (2020). Reviewer: Ramdin Mawia (Kolkata) MSC: 11F66 11M41 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Booker, Andrew R.; Lee, Min; Strömbergsson, Andreas Twist-minimal trace formulas and the Selberg eigenvalue conjecture. (English) Zbl 1475.11103 J. Lond. Math. Soc., II. Ser. 102, No. 3, 1067-1134 (2020). MSC: 11F72 11F12 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Getz, Jayce R. A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula. (English) Zbl 1457.11068 Am. J. Math. 142, No. 5, 1371-1407 (2020). MSC: 11F72 11F66 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beuzart-Plessis, Raphaël A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the Archimedean case. (English) Zbl 1475.22024 Astérisque 418. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-919-7/pbk). ix, 305 p. (2020). Reviewer: Wen-Wei Li (Beijing) MSC: 22E50 11F72 11F85 20G05 11-02 22-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avdeeva, M. O. The generalized Petersson trace formula for congruence subgroups. (Russian. English summary) Zbl 1453.11072 Dal’nevost. Mat. Zh. 20, No. 1, 3-8 (2020). MSC: 11F72 11F03 × Cite Format Result Cite Review PDF Full Text: MNR
Petrow, Ian; Young, Matthew The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor. (English) Zbl 1460.11111 Ann. Math. (2) 192, No. 2, 437-486 (2020). Reviewer: Anton Deitmar (Tübingen) MSC: 11M06 11F66 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jung, Junehyuk; Talebizadeh Sardari, Naser Asymptotic trace formula for the Hecke operators. (English) Zbl 1465.11100 Math. Ann. 378, No. 1-2, 513-557 (2020). MSC: 11F25 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wong, Tian An On the balanced Voronoï formula for \(\mathrm{GL}_N\). (English) Zbl 1465.11110 Funct. Approximatio, Comment. Math. 62, No. 1, 121-130 (2020). MSC: 11F30 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Wong, Tian An Explicit formulas for the spectral side of the trace formula of \(\mathrm{SL}(2)\). (English) Zbl 1456.11167 Acta Arith. 195, No. 2, 149-175 (2020). MSC: 11M36 11M26 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buttcane, Jack Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). I: The principal series forms. (English) Zbl 1475.11104 Am. J. Math. 142, No. 2, 595-626 (2020). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pi, Qinghua Central values of \(\text{GL}(2)\times\text{GL}(3)\) Rankin-Selberg \(L\)-functions. (English) Zbl 1465.11133 Int. J. Number Theory 16, No. 5, 941-962 (2020). MSC: 11F67 11F12 × Cite Format Result Cite Review PDF Full Text: DOI
Lesesvre, Didier Counting and equidistribution for quaternion algebras. (English) Zbl 1456.11186 Math. Z. 295, No. 1-2, 129-159 (2020). MSC: 11N45 11F55 11F72 11K36 43A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaudouard, Pierre-Henri On the fine expansion of the unipotent contribution of the Guo-Jacquet trace formula. (English) Zbl 1445.11040 Pac. J. Math. 305, No. 2, 539-561 (2020). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zydor, Michał Coarse relative trace formulae of Jacquet-Rallis. (Les formules des traces relatives de Jacquet-Rallis grossières.) (French. English summary) Zbl 1461.11081 J. Reine Angew. Math. 762, 195-259 (2020). Reviewer: Salah Mehdi (Metz) MSC: 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popa, Alexandru A.; Zagier, Don An elementary proof of the Eichler-Selberg trace formula. (English) Zbl 1452.11062 J. Reine Angew. Math. 762, 105-122 (2020). Reviewer: Anton Deitmar (Tübingen) MSC: 11F72 11F11 11F67 11F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garbin, Daniel; Jorgenson, Jay Heat kernel asymptotics on sequences of elliptically degenerating Riemann surfaces. (English) Zbl 1446.58010 Kodai Math. J. 43, No. 1, 84-128 (2020). MSC: 58J35 11F72 11M36 30F35 35K08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Brumley, Farrell; Marshall, Simon Lower bounds for Maass forms on semisimple groups. (English) Zbl 1437.11069 Compos. Math. 156, No. 5, 959-1003 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sugiyama, Shingo; Tsuzuki, Masao Optimal estimates for an average of Hurwitz class numbers. (English) Zbl 1445.11024 Ramanujan J. 52, No. 1, 91-104 (2020). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E41 11E16 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hadfield, Charles Ruelle and quantum resonances for open hyperbolic manifolds. (English) Zbl 1476.53059 Int. Math. Res. Not. 2020, No. 5, 1445-1480 (2020). Reviewer: Robert Owczarek (Los Alamos) MSC: 53C20 53D20 81Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matz, Jasmin; Müller, Werner Approximation of \(L^2\)-analytic torsion for arithmetic quotients of the symmetric space \(\text{SL}(n,\mathbb{R}) / \text{SO}(n)\). (English) Zbl 1443.58020 J. Inst. Math. Jussieu 19, No. 2, 307-350 (2020). Reviewer: Dongwen Liu (Zhejiang) MSC: 58J52 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin; Harcos, Gergely; Maga, Péter; Milićević, Djordje The sup-norm problem for GL(2) over number fields. (English) Zbl 1442.11083 J. Eur. Math. Soc. (JEMS) 22, No. 1, 1-53 (2020). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 11F55 11J25 11F03 11F60 11F70 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fedosova, Ksenia; Rowlett, Julie; Zhang, Genkai Second variation of Selberg zeta functions and curvature asymptotics. (English) Zbl 1440.11171 Ann. Global Anal. Geom. 57, No. 1, 23-60 (2020). MSC: 11M36 11F72 30F60 30F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lemaire, Bertrand; Mishra, Manish Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms. (English) Zbl 1440.22032 Compos. Math. 156, No. 3, 533-603 (2020). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 22E50 11F72 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin; Buttcane, Jack Subconvexity for \(L\)-functions of non-spherical cusp forms on \(\mathrm{GL}(3)\). (English) Zbl 1477.11090 Acta Arith. 192, No. 1, 31-62 (2020). Reviewer: Didier Lesesvre (Guangzhou) MSC: 11F66 11M41 11F55 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv