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VOL. 84 | 2020 Integral operators arising from the Riemann zeta function
Masatoshi Suzuki

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

Adv. Stud. Pure Math., 2020: 399-411 (2020) DOI: 10.2969/aspm/08410399

Abstract

In this paper we have two issues coming from the same background. The first one is to describe a certain ratio of Fredholm determinants of integral operators arising from the Riemann zeta function by using the solution of a single integral equation. The second one is to introduce a new integral operator arising from the Riemann zeta function and to study its basic analytic properties.

Information

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

zbMATH: 07283195

Digital Object Identifier: 10.2969/aspm/08410399

Subjects:
Primary: 11M06 , 33B15 , 45A05

Rights: Copyright © 2020 Mathematical Society of Japan

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