English

Integral operators arising from the Riemann zeta function

Number Theory 2020-03-09 v2 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1907.07302,
  title  = {Integral operators arising from the Riemann zeta function},
  author = {Masatoshi Suzuki},
  journal= {arXiv preprint arXiv:1907.07302},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T10:22:45.694Z