On the universality of the zeta functions of certain cusp forms

被引：1

作者：

Laurincikas, Antanas ^{[1
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, Inst Math, Vilnius, Lithuania

来源：

SBORNIK MATHEMATICS | 2022年 / 213卷 / 05期

关键词：

zeta function of a cusp form; weak convergence; universality;

D O I：

10.1070/SM9650

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a certain Dirichlet series associated with the zeta function of a normalized Hecke cusp form. It is absolutely convergent on the right of the critical strip. We obtain universality theorems on the approximation of a wide class of analytic functions by shifts of this series. Bibliography: 9 titles.

引用

页码：659 / 670

页数：12

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