## Advanced Studies in Pure Mathematics

### Integral operators arising from the Riemann zeta function

Masatoshi Suzuki

#### 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.

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