Identities for Multiple Integrals

A. Podolskiy

Lomonosov Moscow State University

Abstract: Zlobin proved an integral identity relating two different methods for constructing Diophantine approximations to the values of the Riemann zeta function at integer points. In the present paper, several variants of generalizing this integral identity are proved.

Keywords: multiple integral, Riemann zeta function, Diophantine approximation.

UDC: 517

Received: 24.09.2014
Revised: 02.03.2015

DOI: 10.4213/mzm10579

 English version: Mathematical Notes, 2015, 98:4, 624–630

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