Moments of S(t, f) Associated with Holomorphic Hecke Cusp Forms

被引：1

作者：

Liu, Sheng-Chi ^{[1
]}

Shim, Jemin ^{[2
]}

机构：

[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA

[2] Univ Louisiana Monroe, Sch Sci, Monroe, LA 71209 USA

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2022年 / 26卷 / 03期

关键词：

holomorphic modular forms; S(t; f); functions; ZEROS;

D O I：

10.11650/tjm/211207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S(t, f) := pi(-1) arg L(1/2 + it, f), where f is a holomorphic Hecke cusp form for SL2 (Z) of weight k. We establish an asymptotic formula for the moments of S(t, f).

引用

页码：463 / 482

页数：20

共 26 条

[1] On the fourth moment of holomorphic Hecke cusp forms
Rizwanur Khan
The Ramanujan Journal, 2014, 34 : 83 - 107
[2] On Higher Moments of Fourier Coefficients of Holomorphic Cusp Forms
Lue, Guangshi
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (03): : 634 - 647
[3] Sums of Fourier coefficients associated with Hecke cusp forms
Guodong Hua
Lithuanian Mathematical Journal, 2022, 62 : 349 - 359
[4] On the density hypothesis for L-functions associated with holomorphic cusp forms
Chen, Bin
Debruyne, Gregory
Vindas, Jasson
REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (06) : 2179 - 2202
[5] 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
[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] The average order of Hecke eigenvalues of Siegel cusp forms of genus 2
Yujiao Jiang
Guangshi Lü
The Ramanujan Journal, 2015, 38 : 465 - 480
[8] ON HECKE L-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT
Kohnen, Winfried
KYUSHU JOURNAL OF MATHEMATICS, 2021, 75 (01) : 125 - 128
[9] 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
[10] A basis for the space of weakly holomorphic Drinfeld modular forms of level T
Dalal, Tarun
JOURNAL OF NUMBER THEORY, 2024, 258 : 122 - 145

← 1 2 3 →