A. Laurinčikas, R. Macaitienė, D. Mokhov, D. Šiaučiūnas, “On universality of certain zeta-functions”, Izv. Saratov Univ. Math. Mech. Inform., 2013, Volume 13, Issue 4(2),Pages <nobr>67

This article is cited in 3 papers

Mathematics

On universality of certain zeta-functions

A. Laurinčikas^a, R. Macaitienė^b, D. Mokhov^c, D. Šiaučiūnas^b

^a Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania
^b Šiauliai University, P. Višinskio st. 19, LT-77156 Šiauliai, Lithuania
^c Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania

Abstract: It is well known that a generalization of the Hurwitz zeta-function – the periodic Hurwitz zeta-function with transcendental parameter is universal in the sense that its shifts approximate any analytic function. In the paper, the transcendence condition is replaced by a simpler one on the linear independence of a certain set.

Key words: periodic Hurwitz zeta-function, space of analytic functions, universality, weak convergence.

UDC: 511.3

DOI: 10.18500/1816-9791-2013-13-4-67-72