Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

Сибирский математический журнал

A. Laurinčikas¹  D. Mochov²  R. Macaitienė³ 

[1] Vilnius University;Å iauliai University;Å iauliai University, Å iauliai State College

关键词: Hurwitz zeta-function;    periodic Hurwitz zeta-function;    Mergelyan’s theorem;    universality;   

DOI  :  10.1134/S0037446618050130

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 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.

【 授权许可】

CC BY