Integral operators arising from the Riemann zeta function
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.
 Publication:

arXiv eprints
 Pub Date:
 July 2019
 arXiv:
 arXiv:1907.07302
 Bibcode:
 2019arXiv190707302S
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Functional Analysis;
 11M06;
 45A05;
 33B15
 EPrint:
 10 pages