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

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