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

共 50 条

[1] ON THE UNIVERSALITY OF ZETA-FUNCTIONS OF CERTAIN CUSP FORMS
Laurincikas, Antanas
Macaitiene, Renata
ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY, 2012, : 173 - +
[2] The universality of zeta-functions attached to certain cusp forms
Laurincikas, A
Matsumoto, K
ACTA ARITHMETICA, 2001, 98 (04) : 345 - 359
[3] UNIVERSALITY OF SOME FUNCTIONS RELATED TO ZETA-FUNCTIONS OF CERTAIN CUSP FORMS
Laurincikas, Antanas
Matsumoto, Kohji
Steuding, Joern
OSAKA JOURNAL OF MATHEMATICS, 2013, 50 (04) : 1021 - 1037
[4] On universality in short intervals for zeta-functions of certain cusp forms
Laurincikas, Antanas
Siauciunas, Darius
MATHEMATICA SLOVACA, 2024, 74 (03) : 595 - 606
[5] Extension of the discrete universality theorem for zeta-functions of certain cusp forms
Laurincikas, Antanas
Siauciunas, Darius
Vaiginyte, Adele
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (06): : 961 - 973
[6] UNIFORM DISTRIBUTION MODULO 1 AND THE UNIVERSALITY OF ZETA-FUNCTIONS OF CERTAIN CUSP FORMS
Laurincikas, Antanas
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2016, 100 (114): : 131 - 140
[7] Joint Universality of the Zeta-Functions of Cusp Forms
Macaitiene, Renata
MATHEMATICS, 2021, 9 (17)
[8] On the derivatives of zeta-functions of certain cusp forms
Laurincikas, A
GLASGOW MATHEMATICAL JOURNAL, 2005, 47 : 87 - 96
[9] On the Functional Independence of Zeta-Functions of Certain Cusp Forms
Laurincikas, A.
MATHEMATICAL NOTES, 2020, 107 (3-4) : 609 - 617
[10] On the derivatives of zeta-functions of certain cusp forms, II
Laurincikas, A.
GLASGOW MATHEMATICAL JOURNAL, 2005, 47 : 505 - 516

← 1 2 3 4 5 →