# On Discrete Universality of the Hurwitz Zeta-Function

On Discrete Universality of the Hurwitz Zeta-Function In the paper, discrete universality theorems for the Hurwitz zeta-function $$\zeta (s,\alpha )$$ ζ ( s , α ) on the approximation of a wide class of analytic functions by shifts $$\zeta (s+i\varphi (k),\alpha )$$ ζ ( s + i φ ( k ) , α ) , where the sequence $$\{\varphi (k)\}$$ { φ ( k ) } is uniformly distributed modulo 1 and satisfies certain growth conditions, are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

# On Discrete Universality of the Hurwitz Zeta-Function

, Volume 72 (2) – May 31, 2017
11 pages

/lp/springer_journal/on-discrete-universality-of-the-hurwitz-zeta-function-FaGClMihAQ
Publisher
Springer Journals
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-017-0702-8
Publisher site
See Article on Publisher Site

### Abstract

In the paper, discrete universality theorems for the Hurwitz zeta-function $$\zeta (s,\alpha )$$ ζ ( s , α ) on the approximation of a wide class of analytic functions by shifts $$\zeta (s+i\varphi (k),\alpha )$$ ζ ( s + i φ ( k ) , α ) , where the sequence $$\{\varphi (k)\}$$ { φ ( k ) } is uniformly distributed modulo 1 and satisfies certain growth conditions, are obtained.

### Journal

Results in MathematicsSpringer Journals

Published: May 31, 2017

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