On zeros of some composite functions

Abstract

We obtain an estimate of the number of zeros for the function F(zeta(s + i mh)), where zeta(s) is the Riemann zeta-function, and F : H(D)–> H(D) is a continuous function, D = {s ꞓ C: 1/2 < sigma < 1}.

Keywords

• Riemann zeta-function
• universality