A discrete universality theorem for the Hurwitz zeta-function

被引：16

作者：

Laurincikas, Antanas ^{[1
,2
]}

机构：

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

[2] Siauliai Univ, Dept Math & Informat, LT-77156 Shiauliai, Lithuania

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 143卷

关键词：

Hurwitz zeta-function; Limit theorem; Linear independence; Space of analytic functions; Universality; Weak convergence of probability measures;

D O I：

10.1016/j.jnt.2014.04.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, a discrete universality theorem on the approximation of analytic functions by discrete shifts of the Hurwitz zeta-function is proved. The parameter of the Hurwitz zeta-function and the step of discrete shifts are related by a certain linear independence relation. Also, discrete universality theorems for composite functions are discussed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：232 / 247

页数：16

共 17 条

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[3]

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[4]

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[10]

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