A general joint discrete universality theorem for Hurwitz zeta-functions

被引：3

作者：

Laurincikas, Antanas ^{[1
]}

机构：

[1] Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 154卷

关键词：

Algebraically independent numbers; Hurwitz zeta-function; Joint universality; Linear independence;

D O I：

10.1016/j.jnt.2015.02.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, it is obtained that different discrete shifts of Hurwitz zeta-functions simultaneously approximate a given collection of analytic functions. For this, a certain linear independence hypothesis is applied. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：44 / 62

页数：19

共 50 条

[31] A joint universality theorem for periodic Hurwitz zeta-functions. II
Laurincikas, A.
Skerstonaite, S.
LITHUANIAN MATHEMATICAL JOURNAL, 2009, 49 (03) : 287 - 296
[32] Joint universality for Lerch zeta-functions
Lee, Yoonbok
Nakamura, Takashi
Pankowski, Lukasz
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (01) : 153 - 161
[33] 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
[34] Joint Universality for L-Functions from the Selberg Class and Periodic Hurwitz Zeta-Functions
R. Macaitienė
Ukrainian Mathematical Journal, 2018, 70 : 754 - 772
[35] JOINT UNIVERSALITY FOR L-FUNCTIONS FROM THE SELBERG CLASS AND PERIODIC HURWITZ ZETA-FUNCTIONS
Macaitiene, R.
UKRAINIAN MATHEMATICAL JOURNAL, 2018, 70 (05) : 754 - 772
[36] A Weighted Universality Theorem for Periodic Zeta-Functions
Macaitiene, Renata
Stoncelis, Mindaugas
Siauciunas, Darius
MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (01) : 95 - 105
[37] On Mixed Joint Discrete Universality for a Class of Zeta-Functions: a Further Generalization
Kacinskaite, Roma
Matsumoto, Kohji
MATHEMATICAL MODELLING AND ANALYSIS, 2020, 25 (04) : 569 - 583
[38] A Joint Limit Theorem for Periodic Hurwitz Zeta-Functions with Algebraic Irrational Parameters
Geniene, Danute
Rimkeviciene, Audrone
MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (01) : 149 - 159
[39] A discrete universality theorem for the Hurwitz zeta-function
Laurincikas, Antanas
JOURNAL OF NUMBER THEORY, 2014, 143 : 232 - 247
[40] Joint Universality of the Zeta-Functions of Cusp Forms
Macaitiene, Renata
MATHEMATICS, 2021, 9 (17)

← 1 2 3 4 5 →