Integral operators arising from the Riemann zeta function

Suzuki, Masatoshi

doi:10.2969/aspm/08410399

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

Chapter Author(s) 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.