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Problemy Peredachi Informatsii, 2021, Volume 57, Issue 3, Pages 73–89
DOI: https://doi.org/10.31857/S0555292321030050 (Mi ppi2348) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

On an evaluation method for zeta constants based on a number theoretic approach

E. A. Karatsuba

Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292321030050
Abstract: New formulas for zeta constants are obtained based on a number theoretic approach that is used in proving irrationality of some classical constants. Using these formulas, one can approximate zeta constants and their combinations by rational fractions and construct a new efficient evaluation method for them.
Keywords: zeta constants, approximations, rational fractions, Hermite-Beukers approach, Legendre polynomials, generalized harmonic numbers, algorithms.
Funding agency Grant number
Russian Foundation for Basic Research 19-07-00750_а
The research was supported by the Russian Foundation for Basic Research, project no. 19-07-00750.
Received: 06.11.2020
Revised: 03.03.2021
Accepted: 13.05.2021
English version:
Problems of Information Transmission, 2021, Volume 57, Issue 3, Pages 265–280
DOI: https://doi.org/10.1134/S0032946021030054
Bibliographic databases:
Document Type: Article
UDC: 519.651 : 517.589
Language: Russian
Citation: E. A. Karatsuba, “On an evaluation method for zeta constants based on a number theoretic approach”, Probl. Peredachi Inf., 57:3 (2021), 73–89; Problems Inform. Transmission, 57:3 (2021), 265–280
Citation in format AMSBIB
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\pages 73--89
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  • https://www.mathnet.ru/eng/ppi/v57/i3/p73
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:35
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