On the zeros of generalized Hurwitz zeta functions

2014/07/31 by Tapas Chatterjee, Chatterjee, Tapas, Sanoli Gun +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1407.8319

To appear in Journal of Number Theory

arxiv created 2014/07/31 · arxiv updated 2014/08/01

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.

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