Found 2,746 Documents (Results 1–100)
Mock modular Eisenstein series with nebentypus. (English) Zbl 07924589
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 505-519 (2024).
Polynomials and reciprocals of Eisenstein series. (English) Zbl 07924575
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 275-285 (2024).
Uniqueness of \(L\)-functions and general meromorphic functions in light of two shared sets. (English) Zbl 07911059
J. Contemp. Math. Anal., Armen. Acad. Sci. 59, No. 1, 47-63 (2024); and Izv. Nats. Akad. Nauk Armen., Mat. 59, No. 1, 64-85 (2024).
Reviewer: Sami Omar (Sukhair)
\(p\)-adic limit of the Eisenstein series on the exceptional group of type \(E_{7,3}\). (English) Zbl 07910775
The first coefficient of Langlands Eisenstein series for \(\mathrm{SL}(n,\mathbb{Z})\). (English) Zbl 07903811
The large sieve for self-dual Eisenstein series of varying levels. (English) Zbl 07903805
Reviewer: Sami Omar (Sukhair)
Constructing multicusped hyperbolic manifolds that are isospectral and not isometric. (English) Zbl 07903773
Reviewer: Emilio A. Lauret (Bahía Blanca)
Norm bounds on Eisenstein series. (English) Zbl 07900423
Reviewer: Sami Omar (Sukhair)
Congruences of Eisenstein series of level \(\Gamma_1(N)\) via Dieudonné theory of formal groups. (English. French summary) Zbl 07892783
Uniqueness of \(L\) functions with special class of meromorphic functions via sharing of pre-image sets. (English) Zbl 07871632
Reviewer: Sami Omar (Sukhair)
On the uniqueness of \(L\)-functions and meromorphic functions under the aegis of two shared sets. (English) Zbl 07870847
Reviewer: Sami Omar (Sukhair)
Hecke theory for \(SO^+ (2, n + 2)\). (English) Zbl 07865952
Reviewer: Martin Raum (Gothenburg)
Modular differential equations and algebraic systems. (English) Zbl 07862429
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 100, 16 p. (2024).
Fourier coefficients of \(\mathrm{Sp}(4)\) Eisenstein series. (English) Zbl 07856596
Reviewer: İlker İnam (Bilecik)
Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series. (English) Zbl 07852707
Reviewer: Wataru Takeda (Tōkyō)
A note on odd zeta values over any number field and extended Eisenstein series. (English) Zbl 07852395
Reviewer: Sami Omar (Sukhair)
Zeros of the combination of the Eisenstein series for \(\Gamma_0^+ (2)\). (English) Zbl 07846619
Reviewer: İlker İnam (Bilecik)
Location and double interlacing of zeros of certain combination of the Eisenstein series for \(\Gamma_0^+ (2)\). (English) Zbl 07845482
MSC:
11F11
Quantum ergodicity for Eisenstein series on hyperbolic surfaces of large genus. (English) Zbl 07845326
Reviewer: Marius Lemm (Cambridge, MA)
Voros-Li type criterion for a class of \(L\)-functions. (English) Zbl 07838077
Reviewer: Sami Omar (Sukhair)
Ramanujan-Shen’s differential equations for Eisenstein series of level 2. (English) Zbl 07837208
Reviewer: Octavio Paniagua-Taboada (Berlin)
Theta correspondence and simple factors in global Arthur parameters. (English) Zbl 07835953
Reviewer: Ivan Matić (Osijek)
On level 3 Ramanujan-Sato type series for \(1/ \pi\). (English) Zbl 07831863
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds. (English) Zbl 07829730
Reviewer: David Lowry-Duda (Providence)
Approaching the Riemann hypothesis using Salem’s equivalence and inversion formulae of a Widder-Lambert-type transform. (English) Zbl 07816070
Vacuum energy of scalar fields on spherical shells with general matching conditions. (English) Zbl 07814460
The first negative Fourier coefficient of an Eisenstein series newform. (English) Zbl 1541.11042
Reviewer: İlker İnam (Bilecik)
On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character. (English) Zbl 07810912
Reviewer: İlker İnam (Bilecik)
A new regularized Siegel-Weil type formula. I. (English) Zbl 07807592
Reviewer: Wen-Wei Li (Beijing)
Zeta functions in higher Teichmüller theory. (English) Zbl 1539.37046
Reviewer: Thomas B. Ward (Durham)
The equidistribution of elliptic Dedekind sums and generalized Selberg-Kloosterman sums. (English) Zbl 07801560
Reviewer: Sami Omar (Sukhair)
On the \(q\)-binomial identities involving the Legendre symbol modulo 3. (English) Zbl 1533.05031
Reviewer: Roxanne Anunciado (Agusan del Norte)
Estimate for the largest zeros of the D’Arcais polynomials. (English) Zbl 07789535
Reviewer: Florian Luca (Johannesburg)
On the meromorphic continuation of Eisenstein series. (English) Zbl 07752243
Reviewer: Bin Xu (Chengdu)
MSC:
11F70
An incomplete Riemann Zeta function as a fractional integral. arXiv:2410.01069
Preprint, arXiv:2410.01069 [math.NT] (2024).
Sign changes along geodesics of modular forms. arXiv:2409.17248
Preprint, arXiv:2409.17248 [math.NT] (2024).
Spectral invariants of integrable polygons. arXiv:2409.14391
Preprint, arXiv:2409.14391 [math.SP] (2024).
Exponential mixing and essential spectral gaps for Anosov subgroups. arXiv:2408.11274
Preprint, arXiv:2408.11274 [math.DS] (2024).
On the number of poles of the dynamical zeta functions for billiard flow. arXiv:2407.17304
Preprint, arXiv:2407.17304 [math.DS] (2024).
Derivatives of theta functions as Traces of Partition Eisenstein series. arXiv:2407.08437
Preprint, arXiv:2407.08437 [math.NT] (2024).
Moments of \(L\)-functions Problem List. arXiv:2405.17800
Preprint, arXiv:2405.17800 [math.NT] (2024).
On the functional equation of twisted Ruelle zeta function and Fried’s conjecture. arXiv:2402.02959
Preprint, arXiv:2402.02959 [math.NT] (2024).
On the regularized products of some Dirichlet series. arXiv:2401.03645
Preprint, arXiv:2401.03645 [math.NT] (2024).
MSC:
11M36
Ellipsitomic associators. (Associateurs ellipsitomiques.) (English. French summary) Zbl 1540.18001
Mémoires de la Société Mathématique de France. Nouvelle Série 179. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-981-4). x, 79 p. (2023).
Reviewer: Nicolas Blanco (Birmingham)
A computational approach to the generalized Riemann hypothesis. (English) Zbl 07819368
Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 187-204 (2023).
Reviewer: Kamel Mazhouda (Monastir)
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 07811886
Reviewer: Sami Omar (Sukhair)
On the analytic theory of isotropic ternary quadratic forms. (English) Zbl 07793422
Reviewer: Detlev Hoffmann (Dortmund)
Note on the distribution of the Dirichlet \(L\)-functions at the \(a\)-points of the corresponding \(\Delta\)-functions. (English) Zbl 1538.11149
On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial. (English) Zbl 1529.11097
The functional equations of Langlands Eisenstein series for \(\mathrm{SL} (n,\mathbb{Z})\). (English) Zbl 07786156
Reviewer: Nikolaos Diamantis (Nottingham)
Rankin-Cohen brackets of vector valued Eisenstein series. (English) Zbl 1539.11069
Reviewer: Martin Raum (Gothenburg)
Harder’s conjecture. I. (English) Zbl 07784652
Fourier expansion of light-cone Eisenstein series. (English) Zbl 07780673
Reviewer: Michael H. Mertens (Köln)
Zeroes of Rankin-Selberg \(L\)-functions and the trace formula. (English) Zbl 1540.11047
Reviewer: David Lowry-Duda (Providence)
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)
Corrigendum to: “Explicit estimates for the summatory function of \(\varLambda (n)/n\) from the one of \(\varLambda(n)\)” and “Short effective intervals containing primes”. (English) Zbl 1533.11166
Holomorphic Eisenstein series of rational weights and special values of Gamma function. (English) Zbl 07771576
Reviewer: Tim Huber (Edinburg)
On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 1537.11134
Reviewer: Władysław Narkiewicz (Wrocław)
Whittaker Fourier type solutions to differential equations arising from string theory. (English) Zbl 1524.11106
On the uniqueness of L-functions and meromorphic functions sharing a set. (English) Zbl 1524.11165
J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 4, 264-281 (2023) and Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 4, 56-80 (2023).
On average theta functions of certain quadratic forms as sums of Eisenstein series. (English) Zbl 1536.11070
Reviewer: Meinhard Peters (Münster)
Group cocycles for \(\mathrm{GL}_n\) and hyperplane arrangements. (Cocycles de groupe pour \(\mathrm{GL}_n\) et arrangements d’hyperplans.) (French) Zbl 1541.11002
CRM Monograph Series 39. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7411-9/hbk; 978-1-4704-7547-5/ebook). xvi, 127 p. (2023).
Reviewer: Steffen Kionke (Karlsruhe)
Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators. (English) Zbl 1533.81067
Second moment of the light-cone Siegel transform and applications. (English) Zbl 07748452
Reviewer: Steven T. Dougherty (Scranton)
Cusps, Kleinian groups, and Eisenstein series. (English) Zbl 1527.57022
Reviewer: Egle Bettio (Venezia)
On the congruences of Eisenstein series with polynomial indexes. (English) Zbl 1539.11071
Reviewer: Ernst-Ulrich Gekeler (Saarbrücken)
Diagonal restriction of Eisenstein series and Kudla-Millson theta lift. (English) Zbl 1537.11056
Reviewer: Siu Hang Man (Praha)
Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients. (English) Zbl 07735808
Combinatorial multiple Eisenstein series. (English) Zbl 07735431
Reviewer: Zhonghua Li (Shanghai)
The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds. (English) Zbl 1532.11121
Reviewer: Anton Deitmar (Tübingen)
The Eisenstein and winding elements of modular symbols for odd square-free level. (English) Zbl 1517.11051
Li coefficients as norms of functions in a model space. (English) Zbl 07722269
Reviewer: Sami Omar (Sukhair)
Rankin-Cohen brackets of Eisenstein series. (English) Zbl 1532.11063
Reviewer: Martin Raum (Gothenburg)
MSC:
11F67
Inversion formulae for a Lambert-type transform and the Salem’s equivalence to the Riemann hypothesis. (English) Zbl 1528.44002
Higher level cusp forms on exceptional group of type \(E_7\). (English) Zbl 1531.11048
Reviewer: Wen-Wei Li (Beijing)
Orthogonal Eisenstein series and theta lifts. (English) Zbl 1534.11060
Reviewer: Chunhui Wang (Wuhan)
On \(p\)-adic Siegel Eisenstein series. (English) Zbl 1533.11093
J. Number Theory 251, 3-30 (2023); corrigendum ibid. 259, 419-421 (2024).
Pointwise bounds for Eisenstein series on \(\Gamma_0(q)\backslash \mathrm{SL}_2(\mathbb{R})\). (English) Zbl 1517.11029
On mixed joint discrete universality for a class of zeta-functions: one more case. (English) Zbl 07692590
Reviewer: Kamel Mazhouda (Monastir)
On Hermitian Eisenstein series of degree \(2\). (English) Zbl 07688271
Reviewer: Martin Raum (Gothenburg)
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