Open AccessOn zeros of some analytic functions related to the Riemann zeta-function
Author(s) -
Antanas Laurinčikas
Publication year - 2013
Publication title -
glasnik matematički
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.48.1.05
Subject(s) - mathematics , riemann zeta function , riemann hypothesis , analytic function , riemann xi function , mathematical analysis , z function , particular values of riemann zeta function , function (biology) , pure mathematics , arithmetic zeta function , prime zeta function , evolutionary biology , biology
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)