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VOL. 84 | 2020 Zeros of derivative of Lerch's zeta-function
Ramūnas Garunkštis, Raivydas Šimėnas, Rokas Tamošiūnas

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Abstract

In this paper, we study the distribution of the zeros of the derivative of the Lerch zeta-function. We indicate the zero-free regions and the positions of the trivial zeros. Also, we consider an asymptotic formula for the number of nontrivial zeros and show that almost all nontrivial zeros are arbitrarily close to the critical line.

Information

Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283182

Digital Object Identifier: 10.2969/aspm/08410079

Subjects:
Primary: 11M35

Rights: Copyright © 2020 Mathematical Society of Japan

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