Found 354 Documents (Results 1–100)
Hecke theory for \(SO^+ (2, n + 2)\). (English) Zbl 07865952
Reviewer: Martin Raum (Gothenburg)
Construction of modular differential equations by using Rankin-Cohen brackets. (English) Zbl 07802053
Non-escape of mass for arithmetic quantum limits on hyperbolic \(4\)-manifolds. arXiv:2405.04221
Preprint, arXiv:2405.04221 [math.NT] (2024).
Integrality of Hecke eigenvalues and the growth of Hecke fields. arXiv:2401.11716
Preprint, arXiv:2401.11716 [math.NT] (2024).
Hybrid bounds for the sup-norm of automorphic forms in higher rank. (English) Zbl 1539.11075
Reviewer: Anton Deitmar (Tübingen)
Orthogonal Eisenstein series and theta lifts. (English) Zbl 1534.11060
Reviewer: Chunhui Wang (Wuhan)
On the non-vanishing of Hilbert Poincaré series. arXiv:2312.04169
Preprint, arXiv:2312.04169 [math.NT] (2023).
Some remarks on strong multiplicity one for paramodular forms. arXiv:2310.17144
Preprint, arXiv:2310.17144 [math.NT] (2023).
The paramodular Hecke algebra. arXiv:2310.13179
Preprint, arXiv:2310.13179 [math.NT] (2023).
Concentration properties of theta lifts on orthogonal groups. arXiv:2309.06433
Preprint, arXiv:2309.06433 [math.NT] (2023).
A discrepancy result for Hilbert modular forms. arXiv:2307.16736
Preprint, arXiv:2307.16736 [math.NT] (2023).
On signs of Hecke eigenvalues of Siegel eigenforms. (English) Zbl 1535.11075
Reviewer: Anton Deitmar (Tübingen)
The trace of \(T_2\) takes no repeated values. (English) Zbl 1514.11027
Reviewer: İlker İnam (Bilecik)
Orthogonal Eisenstein series at harmonic points and modular forms of singular weight. (English) Zbl 1499.11188
Theta series of ternary quadratic lattice cosets. arXiv:2211.03987
Preprint, arXiv:2211.03987 [math.NT] (2022).
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
On distinguishing Siegel cusp forms of degree two. arXiv:2207.13234
Preprint, arXiv:2207.13234 [math.NT] (2022).
Orthogonal Eisenstein series at harmonic points and modular forms of singular weight. (English) Zbl 1497.11007
Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). 123 p. (2021).
Hida theory for Shimura varieties of Hodge type. arXiv:2104.11941
Preprint, arXiv:2104.11941 [math.NT] (2021).
Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories. (English) Zbl 1519.81448
Rankin-Cohen type operators for Hilbert-Jacobi forms. (English) Zbl 1469.11108
Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 143-156 (2020).
On Hecke theory for Hermitian modular forms. (English) Zbl 1469.11121
Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 73-88 (2020).
Arithmetic properties of vector-valued Siegel modular forms. (English) Zbl 1469.11111
Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 47-58 (2020).
Hecke operators and systems of eigenvalues on Siegel cusp forms. (English) Zbl 1521.11004
Memoirs of the American Mathematical Society 1306. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4334-4/pbk; 978-1-4704-6343-4/ebook). v, 165 p. (2020).
Reviewer: Suresh Nampuri (Lisboa)
The sup-norm problem for GL(2) over number fields. (English) Zbl 1442.11083
Reviewer: Laurent Guillopé (Nantes)
Joint distribution of eigenvalues of Hecke and Casimir operators for Hilbert Maass forms. arXiv:2002.05144
Preprint, arXiv:2002.05144 [math.NT] (2020).
Analytic evaluation of Hecke eigenvalues for Siegel modular forms of degree two. (English) Zbl 1517.11048
Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 207-220 (2019).
On the sup-norm of \(\mathrm{SL}_3\) Hecke-Maass cusp forms. (English) Zbl 1459.11119
Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 2, 53-80 (2019).
Reviewer: Ilker Inam (Bilecik)
Entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras. (English) Zbl 1442.81010
Canzani, Yaiza (ed.) et al., Probabilistic methods in geometry, topology and spectral theory. CRM workshops on probabilistic methods in spectral geometry and PDE, August 22–26, 2016, and on probabilistic methods in topology, November 14–18, 2016, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 739, 171-197 (2019).
On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\). (English) Zbl 1472.11128
Nearly overconvergent Siegel modular forms. (Formes modulaires de Siegel quasi surconvergentes.) (English. French summary) Zbl 1447.11060
Construction of supermodular forms using differential operators from a given supermodular form. (English) Zbl 1457.11038
The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms. (English) Zbl 1464.11051
Reviewer: Shaul Zemel (Jerusalem)
Rankin-Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series. (English) Zbl 1456.11082
On graphs of Hecke operators. (English) Zbl 1454.11093
On the distribution of Hecke eigenvalues for cuspidal automorphic representations for \(\mathrm{GL}(2)\). (English) Zbl 1450.11048
Traces of Hecke operators on the spaces of level one and arbitrary weight of SO7, SO8 and SO9. (Traces des opérateurs de Hecke sur les espaces de formes automorphes de SO7, SO8 ou SO9 en niveau 1 et poids arbitraire.) (French. English summary) Zbl 1443.11065
Calculation of Hecke operators on isomorphism classes of even lattices of determinant 2 in dimension 23 and 25. (Calcul des opérateurs de Hecke sur les classes d’isomorphisme de réseaux pairs de déterminant 2 en dimension 23 et 25.) (French) Zbl 1444.11093
The Hecke algebras for the orthogonal group \(\mathrm{SO}(2, 3)\) and the paramodular group of degree \(2\). (English) Zbl 1445.11038
Rankin-Cohen brackets on Hilbert modular forms and special values of certain Dirichlet series. (English) Zbl 1441.11109
Differential operators and families of automorphic forms on unitary groups of arbitrary signature. (English) Zbl 1408.14089
Reviewer: Imin Chen (Burnaby)
Simultaneous computation of Hecke operators. (English) Zbl 1479.11074
Reviewer: Oliver Stein (Bonn)
Regularized inner products and weakly holomorphic Hecke eigenforms. (English) Zbl 1393.11035
Reviewer: Noburo Ishii (Kyoto)
Differential operators on modular forms (mod p). arXiv:1806.11261
Preprint, arXiv:1806.11261 [math.NT] (2018).
Weight changing operators for automorphic forms on Grassmannians and differential properties of certain theta lifts. (English) Zbl 1495.11061
Interaction of the Hecke-Shimura rings and zeta functions. (English) Zbl 1439.11126
J. Math. Sci., New York 225, No. 6, 841-847 (2017) and Zap. Nauchn. Semin. POMI 449, 5-14 (2016).
Reviewer: Meinhard Peters (Münster)
Weyl’s law for Hecke operators on \(\mathrm{GL}(n)\) over imaginary quadratic number fields. (English) Zbl 1379.11059
Reviewer: Dimitrios Chatzakos (Villeneuve d’Ascq)
Differential operators for Hermitian Jacobi forms and Hermitian modular forms. (English) Zbl 1422.11114
Compositions of automorphic differential operators on Siegel modular forms. (English) Zbl 1417.11067
Distribution of Hecke eigenvalues for \(\mathrm{GL}(n)\). (English) Zbl 1408.11043
Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 327-350 (2016).
Arithmetic of adjoint \(L\)-values. (English) Zbl 1418.11084
Balasubramanyam, Baskar (ed.) et al., \(p\)-adic aspects of modular forms. Based on lectures at the ICTS program, IISER, Pune, India, June 10–20, 2014. Hackensack, NJ: World Scientific. 185-236 (2016).
Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\). (English) Zbl 1391.11076
Reviewer: Anton Deitmar (Tübingen)
Differential operators for Siegel-Jacobi forms. (English) Zbl 1403.11041
Reviewer: Larry Rolen (Dublin)
Classicity of overconvergent modular forms. (Classicité de formes modulaires surconvergentes.) (English. French summary) Zbl 1407.11078
Pro-\(p\)-Iwahori invariants for \(\mathrm{SL}_{2}\) and \(L\)-packets of Hecke modules. (English) Zbl 1347.11048
Reviewer: Yuval Z. Flicker (Ariel)
The spectral Kuznetsov formula on \(\mathrm{SL}(3)\). (English) Zbl 1354.11032
Reviewer: Anton Deitmar (Tübingen)
Harmonic analysis on symmetric spaces – higher rank spaces, positive definite matrix space and generalizations. 2nd edition. (English) Zbl 1351.43001
New York, NY: Springer (ISBN 978-1-4939-3406-5/hbk; 978-1-4939-3408-9/ebook). xv, 487 p. (2016).
Reviewer: Shuyang Cheng (Chicago)
WITHDRAWN: Theta operators on Siegel modular forms and Galois representations. arXiv:1601.01835
Preprint, arXiv:1601.01835 [math.NT] (2016); retraction notice ibid.
The amplification method in the \(\mathrm{GL}(3)\) Hecke algebra. (English) Zbl 1380.11053
Algèbre et théorie des nombres 2015. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2015, 13-40 (2015).
Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. (English) Zbl 1348.14098
Reviewer: G. K. Sankaran (Bath)
Automorphic forms and \(L\)-functions for the group \(\text{GL}(n,\mathbb R)\). With an appendix by Kevin A. Broughan. Reprint of the 2006 hardback edition. (English) Zbl 1320.11034
Cambridge Studies in Advanced Mathematics 99. Cambridge: Cambridge University Press (ISBN 978-1-107-56502-9/pbk; 978-0-511-54292-3). xiii, 493 p. (2015).
Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition. (English) Zbl 1321.11052
Reviewer: Steven T. Dougherty (Scranton)
Interaction of Hecke-Shimura rings acting on theta-series. (English) Zbl 1307.11057
J. Math. Sci., New York 200, No. 5, 521-531 (2014) and Zap. Nauchn. Semin. POMI 418, 8-27 (2013).
Reviewer: Meinhard Peters (Münster)
A Sato-Tate law for \(\mathrm{GL}(3)\). (English) Zbl 1317.11053
Reviewer: Zhengyu Mao (Newark)
Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 2. (English) Zbl 1310.11003
London Mathematical Society Lecture Note Series 415. Cambridge: Cambridge University Press (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). vii, 378 p. (2014).
On the computation of the determinant of vector-valued Siegel modular forms. (English) Zbl 1296.11043
Hecke eigenvalues of Siegel modular forms of “different weights”. (English) Zbl 1302.11028
Reviewer: G. K. Sankaran (Bath)
On the computation of algebraic modular forms on compact inner forms of \(\mathrm{GSp}_4\). (English) Zbl 1297.11033
Reviewer: Takeo Okazaki (Nara)
Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms. (English) Zbl 1291.11087
Reviewer: Takeo Okazaki (Nara)
Corrigendum to “A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications”. (English) Zbl 1304.11032
A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms with applications to Linnik’s problem. (English) Zbl 1322.11101
Reviewer: Jonas Šiaulys (Vilnius)
Formes automorphes et voisins de Kneser des réseaux de Niemeier. arXiv:1409.7616
Preprint, arXiv:1409.7616 [math.NT] (2014).
Upper bounds for Maass forms on semisimple groups. arXiv:1405.7033
Preprint, arXiv:1405.7033 [math.NT] (2014).
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