Affiliation:
1. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania
Abstract
We consider the approximation of analytic functions by shifts of the Riemann
zeta-function ?(s+ikh) with fixed h > 0 when positive integers k run over
the interval [N,N+M], where N1/3(logN)26=15 ? M ? N, and prove that those k
have a positive lower density as N ? ?. The same is true for some
compositions. Two types of h > 0 are discussed separately.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
5 articles.
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