Integral operators arising from the Riemann zeta function

Authors :: Suzuki, Masatoshi
Source :: published in "Various Aspects of Multiple Zeta Functions", Adv. Stud. Pure Math. 84 (2020), Math. Soc. Japan, Tokyo, 399-411
Publication Year :: 2019
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.<br />Comment: 10 pages

Subjects :: Mathematics - Number Theory
Mathematics - Functional Analysis
11M06, 45A05, 33B15

Database :: arXiv
Journal :: published in "Various Aspects of Multiple Zeta Functions", Adv. Stud. Pure Math. 84 (2020), Math. Soc. Japan, Tokyo, 399-411
Publication Type :: Report
Accession number :: edsarx.1907.07302
Document Type :: Working Paper

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