Results 61 to 70 of about 99 (93)

A joint universality theorem for periodic Hurwitz zeta-functions. II

Lithuanian Mathematical Journal, 2009
The aim of this paper is to prove a joint universality theorem for the functions \(\zeta(s, \alpha_1; \mathfrak A_1), \ldots,\) \(\zeta(s, \alpha_r; \mathfrak A_r)\) without using the hypothesis on the rank of the matrix \(A\) [\textit{A. Javtokas} and the first author [Bull. Aust. Math. Soc. 78, No. 1, 13--33 (2008; Zbl 1228.11136)]. Let \[ L(\alpha_1,
Laurinčikas, A., Skerstonaitė, S.
openaire   +1 more source

Joint universality for periodic Hurwitz zeta-functions

Izvestiya: Mathematics, 2008
We prove a joint universality theorem for a collection of periodic Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers.
openaire   +1 more source

Functional independence of periodic Hurwitz zeta functions

Mathematical Notes, 2008
Given a periodic sequence \({\mathfrak a}:= \{a_m\mid m\in\mathbb Z, m\geq 0\}\) of complex numbers \(a_m\), let \[ \zeta(s,\alpha;{\mathfrak a})= \sum^\infty_{m=0} a_m(m+ \alpha)^{-s}. \] The so-called periodic Hurwitz zeta-function \(s\mapsto \zeta(s,\alpha;{\mathfrak a})\) can be analytically continued to the whole complex plane.
openaire   +1 more source

Joint limit theorems for periodic Hurwitz zeta-function. II

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013
Summary: In the paper, we prove a joint limit theorem for a collection of periodic Hurwitz zeta-functions with transcendental and rational parameters. For Part I see the second author, Šiauliai Math. Semin. 6(14), 53--68 (2011; Zbl 1268.11126).
Misevičius, G., Rimkevičiene, A.
openaire   +2 more sources

The discrete universality of the periodic Hurwitz zeta function

Integral Transforms and Special Functions, 2009
The periodic Hurwitz zeta function , s=σ+it, 0 1, by and by analytic continuation elsewhere. Here {a m } is a periodic sequence of complex numbers. In this paper, a discrete universality theorem for the function with a transcendental parameter α is proved.
A. Laurinčikas, R. Macaitienė
openaire   +1 more source

Voronin-type theorem for periodic Hurwitz zeta-functions

Sbornik: Mathematics, 2007
A result on the approximation of a fixed system of analytic functions by translations of Hurwitz zeta-functions with transcendental parameter is established. This is an analogue of Voronin's theorem on the joint universality of the Dirichlet -functions.Bibliography: 28 titles.
openaire   +1 more source

On joint universality of periodic Hurwitz zeta-functions

Lithuanian Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The joint universality for periodic Hurwitz zeta-functions

Analysis, 2006
We prove a joint universality theorem for the Hurwitz zeta-functions with periodic coefficients.
openaire   +1 more source

Some value-distribution theorems for periodic Hurwitz zeta-functions

Journal of Mathematical Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

ASYMPTOTIC EXPANSIONS FOR PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS AND THEIR ASSOCIATED FUNCTIONS

International Journal of Mathematics, 2009
We study the asymptotic behavior of multiple Hurwitz zeta functions and generalized multiple gamma and sine functions as some period parameters tend to 0. We obtain the perfect asymptotic expansions and get some applications in refining a previous paper by the author.
openaire   +1 more source