On the zeros of generalized Hurwitz zeta functions
  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. 
Tapas Chatterjee and Sanoli Gun
math.NT