Found 603 Documents (Results 1–100)
Asymptotic of Fourier coefficients of Hecke eigenforms at integers represented by a binary quadratic form of a fixed discriminant. (English) Zbl 07915731
Oscillations of Fourier coefficients of product of \(L\)-functions at integers in a sparse set. (English) Zbl 07902827
Average estimates and sign change of Fourier coefficients of cusp forms at integers represented by binary quadratic form of fixed discriminant. (English) Zbl 07875083
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds. (English) Zbl 07852591
On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions. (English) Zbl 1540.33003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
A note on a Hecke type integral for \(\mathrm{Sp}(2n) \times \mathrm{GL}(1)\). (English) Zbl 07838078
Reviewer: Akash Yadav (Mumbai)
Extreme values of \(L\)-functions of newforms. (English) Zbl 07828057
Reviewer: Anton Deitmar (Tübingen)
Sandpile groups of supersingular isogeny graphs. (English. French summary) Zbl 1535.05164
Approaching the Riemann hypothesis using Salem’s equivalence and inversion formulae of a Widder-Lambert-type transform. (English) Zbl 07816070
Estimate for the largest zeros of the D’Arcais polynomials. (English) Zbl 07789535
Reviewer: Florian Luca (Johannesburg)
Test vectors for Archimedean period integrals. (English) Zbl 1541.11050
Reviewer: Ivan Matić (Osijek)
Asymptotics and sign patterns of Hecke polynomial coefficients. arXiv:2410.12008
Preprint, arXiv:2410.12008 [math.NT] (2024).
On the average size of the eigenvalues of the Hecke operators. arXiv:2407.19076
Preprint, arXiv:2407.19076 [math.NT] (2024).
Nonvanishing of Second Coefficients of Hecke Polynomials on the Newspace. arXiv:2407.11694
Preprint, arXiv:2407.11694 [math.NT] (2024).
Geodesic flow and decay of traces on hyperbolic surfaces. arXiv:2402.00230
Preprint, arXiv:2402.00230 [math.SP] (2024).
Gaussian limit theorem for posterior distribution in the problem of conflicting expert opinions. (English) Zbl 07796494
On the analytic theory of isotropic ternary quadratic forms. (English) Zbl 07793422
Reviewer: Detlev Hoffmann (Dortmund)
The unramified computation of a Shimura integral for \(\mathrm{SL}(2)\times \mathrm{GL}(2)\). (English) Zbl 1528.11038
Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators. (English) Zbl 1533.81067
Inversion formulae for a Lambert-type transform and the Salem’s equivalence to the Riemann hypothesis. (English) Zbl 1528.44002
Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues. (English) Zbl 1525.15028
An extension of Venkatesh’s converse theorem to the Selberg class. (English) Zbl 1526.11016
Reviewer: Thomas Oliver (London)
Probabilistic proof for the generalization of some well-known binomial identities. (English) Zbl 1509.05025
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip. (English) Zbl 1522.11089
Reviewer: Shin-ya Koyama (Yokohama)
The second moment theory of families of \(L\)-functions-the case of twisted Hecke \(L\)-functions. (English) Zbl 1519.11001
Memoirs of the American Mathematical Society 1394. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5678-8/pbk; 978-1-4704-7350-1/ebook). v, 148 p. (2023).
Reviewer: Franz Lemmermeyer (Jagstzell)
Rogers-Ramanujan type generalized reciprocal identities and Eisenstein series. (English) Zbl 1512.11036
Reviewer: Ahmet Tekcan (Bursa)
Eigenfunctions of the van Diejen model generated by gauge and integral transformations. (English) Zbl 1528.81128
A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case. (English) Zbl 1528.11037
Reviewer: Bin Xu (Chengdu)
A note on the trace formula. arXiv:2311.03523
Preprint, arXiv:2311.03523 [math.NT] (2023).
Counting locally supercuspidal newforms. arXiv:2310.17047
Preprint, arXiv:2310.17047 [math.NT] (2023).
Elliptic Eisenstein series associated to ideals in real quadratic number fields. arXiv:2303.17821
Preprint, arXiv:2303.17821 [math.NT] (2023).
Density estimates for the zeros of the Beurling \(\zeta\) function in the critical strip. (English) Zbl 1523.11160
Some Eichler-Selberg trace formulas. (English) Zbl 1521.11026
Reviewer: Zeynep Demirkol Özkaya (Van)
Statistics for Kneser \(p\)-neighbors. (Statistiques et \(p\)-voisins de Kneser.) (English. French summary) Zbl 1535.11069
Extreme values of the Rankin-Selberg \(L\)-functions. (English) Zbl 1526.11017
Reviewer: Qiao Zhang (Fort Worth)
Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form. (English) Zbl 1509.11033
Reviewer: Ahmet Tekcan (Bursa)
Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\). (English. French summary) Zbl 1522.11113
Reviewer: Andrzej Dąbrowski (Szczecin)
Average behaviour of higher moments of cusp form coefficients. (English) Zbl 1511.11041
Reviewer: Shigeru Kanemitsu (Kitakyushu)
The completed standard \(L\)-function of modular forms on \(G_2\). (English) Zbl 1502.11059
Reviewer: Ivan Matić (Osijek)
On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting. (English) Zbl 1517.11136
Reviewer: Andrzej Dąbrowski (Szczecin)
Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients. (English) Zbl 1537.11075
The Kirillov model in families. (English) Zbl 1497.11131
Reviewer: Laure Blasco (Paris)
The \({{\mathbb{F}}}_p\)-Selberg integral. (English) Zbl 1496.13008
Reviewer: Janet Vassilev (Albuquerque)
Maclaurin spectral results on rank one symmetric spaces of noncompact type. (English) Zbl 1507.58012
Cuspidal projections of products of Eisenstein series. (English) Zbl 1493.11085
Reviewer: Guram Gogishvili (Tbilisi)
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)
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for \(\zeta(2k+1)\), Weierstrass’ elliptic and allied functions. arXiv:2201.10124
Preprint, arXiv:2201.10124 [math.NT] (2022).
The BFK-gluing formula for zeta-determinants and the conformal rescaling of a metric. (English) Zbl 1501.58018
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 281-303 (2021).
Reviewer: Luiz Hartmann (São Carlos)
Linear differential equations for the resolvents of the classical matrix ensembles. (English) Zbl 1480.15043
On a class number formula of Hurwitz. (English) Zbl 1495.11055
Reviewer: Detlev Hoffmann (Dortmund)
Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form. (English) Zbl 1475.11080
AFLT-type Selberg integrals. (English) Zbl 1483.33007
Reviewer: Shintaro Yanagida (Nagoya)
On the first sign change of Fourier coefficients of cusp forms at sum of two squares. (English) Zbl 1479.11065
Reviewer: Ilker Inam (Bilecik)
Bias of root numbers for modular newforms of cubic level. (English) Zbl 1484.11112
Reviewer: Noburo Ishii (Kyoto)
Dimensions of automorphic representations, \(L\)-functions and liftings. (English) Zbl 1476.11080
Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 75-100 (2021).
Reviewer: Ivan Matić (Osijek)
Proofs for two Lambert series identities of Gosper. (English) Zbl 1482.11065
Reviewer: Ismail Naci Cangül (Bursa)
Shimura lifts of certain classes of modular forms of half-integral weight. (English) Zbl 1472.11140
Reviewer: Ilker Inam (Bilecik)
The spectral decomposition of \(|\theta |^2\). (English) Zbl 1481.11047
Math. Z. 298, No. 3-4, 1425-1447 (2021); correction ibid. 299, No. 1-2, 1197 (2021).
Reviewer: Brandon Williams (Berkeley)
Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane. (English) Zbl 1469.30007
On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\). (English) Zbl 1470.11134
Reviewer: Ivan Matić (Osijek)
MSC:
11F70
Determining modular forms of half-integral weight by central values of convolution \(L\)-functions. (English) Zbl 1468.11107
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, 157-172 (2020).
On the random wave conjecture for Eisenstein series. (English) Zbl 1465.11097
Reviewer: Ilker Inam (Bilecik)
On the distribution of integral points on the three-dimensional sphere. (Russian. English summary) Zbl 1454.11102
\(q\)-difference systems for the Jackson integral of symmetric Selberg type. (English) Zbl 1459.33013
Reviewer: Faitori Omer Salem (Tripoli)
On the standard twist of the \(L\)-functions of half-integral weight cusp forms. (English) Zbl 1469.11354
Reviewer: Qiao Zhang (Fort Worth)
Lecture hall tableaux. (English) Zbl 1443.05182
Rankin-Selberg \(L\)-functions via good sections. (English) Zbl 1469.11142
Reviewer: Yuval Z. Flicker (Ariel)
On \(q\)-integrals over order polytopes (extended abstract). (English. French summary) Zbl 1440.05043
Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 707-718 (2020).
An elementary proof of the Eichler-Selberg trace formula. (English) Zbl 1452.11062
Reviewer: Anton Deitmar (Tübingen)
Functional equation for \(p\)-adic Rankin-Selberg \(L\)-functions. (English. French summary) Zbl 1470.11276
Renormalization of integrals of products of Eisenstein series and analytic continuation of representations. (English) Zbl 1447.11058
Reviewer: Guram Gogishvili (Tbilisi)
On the Archimedean local gamma factors for adjoint representation of \(\mathrm{GL}_3\). I. (English) Zbl 1462.22001
Reviewer: Andrzej Dąbrowski (Szczecin)
Fractal uncertainty for transfer operators. (English) Zbl 1442.42059
Reviewer: Elijah Liflyand (Ramat-Gan)
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