On the zeros of generalized Hurwitz zeta functions

Abstract

In this note, we prove the existence of infinitely many zeros of certain generalized Hurwitz zeta functions in the domain of absolute convergence. This is a generalization of a classical problem of Davenport, Heilbronn and Cassels about the zeros of the Hurwitz zeta function.

arXiv commentTo appear in Journal of Number Theory

References in corpus (1)

• Zeros of L-functions outside the critical strip

Cited by in corpus (1)

• A note on the zeros of generalized Hurwitz zeta functions