ON SOME ANALYTIC PROPERTIES OF A FUNCTION ASSOCIATED WITH THE SELBERG CLASS SATISFYING CERTAIN SPECIAL CONDITIONS

Abstract

In 2001, M. Rȩkoś described the analytic behavior for a function connected with the Euler totient function for the upper half-plane H. In this paper, for Im $z>0$ we describe the analytic behavior of the generalized function $f(z,\mathit{F})$, where the function $\mathit{F}$ belongs to a subclass of the Selberg class which has a polynomial Euler product expressions and satisfies some special conditions.