Glasnik matematički, Vol. 48 No. 1, 2013.
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
Publication date:
4.6.2013.
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