Discrete universality theorems for the Hurwitz zeta-function

JOURNAL OF APPROXIMATION THEORY

卷:183

Article

Buivydas, E.¹  Laurincikas, A.²  Macaitiene, R.¹  Rasyte, J.² 

[1] Siaulial Univ, Dept Math & Informat, LT-77156 Shiauliai, Lithuania

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

关键词: Hurwitz zeta-function;    Limit theorem;    Space of analytic functions;    Universality;    Weak convergence of probability measures;   

DOI  :  10.1016/j.jat.2014.03.006

来源: Elsevier

【 摘 要 】

In the paper, we obtain a discrete universality theorem on approximation of analytic functions by discrete shifts of the Hurwitz zeta-function under a new hypothesis on the parameter generalizing the transcendence condition. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free