Original scientific paper

https://doi.org/10.3336/gm.48.1.05

On zeros of some analytic functions related to the Riemann zeta-function

Antanas Laurinčikas ; Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania

Abstract

For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann zeta-function, has infinitely many zeros in the strip 1/2 < Re s < 1. For example, this is true for the functions sin ζ (s) and cos ζ (s).

Keywords

Riemann zeta-function; universality; zero-distribution

Hrčak ID:

103271

URI

https://hrcak.srce.hr/103271

Publication date:

4.6.2013.

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