On the zeros of generalized Hurwitz zeta functions

Chatterjee, T. ; Gun, S. (2014) On the zeros of generalized Hurwitz zeta functions Journal of Number Theory, 145 . pp. 352-361. ISSN 0022-314X

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Official URL: http://doi.org/10.1016/j.jnt.2014.06.004

Related URL: http://dx.doi.org/10.1016/j.jnt.2014.06.004

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V..
Keywords:Generalized Hurwitz Zeta Functions; Kronecker Theorem.
ID Code:118008
Deposited On:11 May 2021 05:33
Last Modified:11 May 2021 05:33

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