On the non-vanishing of L-functions associated to cusp forms of half-integral weight

被引：0

作者：

Sonja Žunar

机构：

[1] University of Zagreb,Department of Mathematics, Faculty of Science

来源：

The Ramanujan Journal | 2020年 / 51卷

关键词：

-functions; Cusp forms of half-integral weight; Non-vanishing of Poincaré series; Metaplectic cover of ; 11F37;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a strengthening of Muić’s integral non-vanishing criterion for Poincaré series on unimodular locally compact Hausdorff groups and use it to prove a result on non-vanishing of L-functions associated to cusp forms of half-integral weight.

引用

页码：455 / 477

页数：22

共 10 条

[1] On the non-vanishing of L-functions associated to cusp forms of half-integral weight
Zunar, Sonja
RAMANUJAN JOURNAL, 2020, 51 (03) : 455 - 477
[2] ON HECKE L-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT
Kohnen, Winfried
KYUSHU JOURNAL OF MATHEMATICS, 2021, 75 (01) : 125 - 128
[3] Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip
Alia Hamieh
Wissam Raji
Research in Number Theory, 2021, 7
[4] Simultaneous non-vanishing of quadratic Dirichlet L-functions and twists of Hecke L-functions
Gopal Maiti
Mathematische Zeitschrift, 2023, 303
[5] ESTIMATES FOR THE SHIFTED CONVOLUTION SUM INVOLVING FOURIER COEFFICIENTS OF CUSP FORMS OF HALF-INTEGRAL WEIGHT
Jha, Abhash Kumar
Vaishya, Lalit
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2023, 68 (01) : 7 - 18
[6] On Fractional Power Moments of L-functions Associated with Certain Cusp Forms
Haiwei Sun
Guangshi Lü
Acta Applicandae Mathematicae, 2010, 109 : 653 - 667
[7] Zeros of a family of approximations of Hecke L-functions associated with cusp forms
Junxian Li
Arindam Roy
Alexandru Zaharescu
The Ramanujan Journal, 2016, 41 : 391 - 419
[8] L-functions of second-order cusp forms
N. Diamantis
M. Knopp
G. Mason
C. O’Sullivan
The Ramanujan Journal, 2006, 12 : 327 - 347
[9] Determination of cusp forms by central values of Rankin–Selberg L-functions*
Qinghua Pi
Lithuanian Mathematical Journal, 2011, 51 : 543 - 561
[10] On Selberg’s limit theorem for L-functions over a family of GL(n) Hecke–Maass cusp forms
Guohua Chen
Yuk-Kam Lau
Yingnan Wang
The Ramanujan Journal, 2022, 59 : 1171 - 1195

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