Author： Laurincikas A.
Publisher： Taylor & Francis Ltd
ISSN： 1065-2469
Source： Integral Transforms and Special Functions, Vol.20, Iss.9, 2009-09, pp. : 673-686
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
The periodic Hurwitz zeta function [image omitted] , s=σ+it, 0<α≤1, is defined, for σ>1, by [image omitted] and by analytic continuation elsewhere. Here {am} is a periodic sequence of complex numbers. In this paper, a discrete universality theorem for the function [image omitted] with a transcendental parameter α is proved. Roughly speaking, this means that every analytic function can be approximated uniformly on compact sets by shifts [image omitted] , where m is a non-negative integer and h is a fixed positive number such that [image omitted] is rational.
Related content
Access to resources
Recommend
JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS
Bulletin of the Australian Mathematical Society, Vol. 86, Iss. 2, 2012-07 ,pp. :
Vanishing of the integral of the Hurwitz zeta Function
Bulletin of the Australian Mathematical Society, Vol. 65, Iss. 1, 2002-02 ,pp. :