Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

被引：10

作者：

Laurincikas, A. ^{[1
]}

Macaitiene, R. ^{[2
]}

Mochov, D. ^{[1
]}

Siauciunas, D. ^{[3
]}

机构：

[1] Vilnius Univ, Vilnius, Lithuania

[2] Siauliai Univ, Siauliai State Coll, Shiauliai, Lithuania

[3] Siauliai Univ, Shiauliai, Lithuania

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 05期

关键词：

Hurwitz zeta-function; periodic Hurwitz zeta-function; Mergelyan's theorem; universality;

D O I：

10.1134/S0037446618050130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter.

引用

页码：894 / 900

页数：7

共 14 条

[1]

[Anonymous], 1996, MATH ITS APPL

[2]

[Anonymous], 1992, P AM C AN NUMB THEOR

[3] A JOINT UNIVERSALITY THEOREM FOR DIRICHLET L-FUNCTIONS [J].