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Matematicheskie Zametki, 2015, Volume 98, Issue 4, Pages 557–564
DOI: https://doi.org/10.4213/mzm10579 (Mi mzm10579) 		 
Identities for Multiple Integrals

A. Podolskiy

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10579
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05700 А
This work was supported by the Russian Foundation for Basic Research under grant 15-01-05700 A.
Received: 24.09.2014
Revised: 02.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 4, Pages 624–630
DOI: https://doi.org/10.1134/S0001434615090291
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. Podolskiy, “Identities for Multiple Integrals”, Mat. Zametki, 98:4 (2015), 557–564; Math. Notes, 98:4 (2015), 624–630
Citation in format AMSBIB
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