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A discrete universality theorem for the Hurwitz zeta-function.

Authors :
Laurinčikas, Antanas
Source :
Journal of Number Theory. Oct2014, Vol. 143, p232-247. 16p.
Publication Year :
2014

Abstract

In the paper, a discrete universality theorem on the approximation of analytic functions by discrete shifts of the Hurwitz zeta-function is proved. The parameter of the Hurwitz zeta-function and the step of discrete shifts are related by a certain linear independence relation. Also, discrete universality theorems for composite functions are discussed. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*COMPUTATIONAL mathematics
*APPROXIMATION theory
*MATHEMATICS theorems
*ANALYTIC functions
*ZETA functions
*LINEAR dependence (Mathematics)

Details

Language :
English
ISSN :
0022314X
Volume :
143
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
96999885
Full Text :
https://doi.org/10.1016/j.jnt.2014.04.013
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