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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 41–58 (Mi fpm894)  
This article is cited in 4 scientific papers (total in 4 papers)

Properties of coefficients of certain linear forms in generalized polylogarithms

S. A. Zlobin

M. V. Lomonosov Moscow State University
Full-text PDF (195 kB) Citations (4)
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Abstract: We study properties of coefficients of a linear form originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrationality of the Riemann zeta function at odd integers.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5655–5668
DOI: https://doi.org/10.1007/s10958-007-0381-1
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: S. A. Zlobin, “Properties of coefficients of certain linear forms in generalized polylogarithms”, Fundam. Prikl. Mat., 11:6 (2005), 41–58; J. Math. Sci., 146:2 (2007), 5655–5668
Citation in format AMSBIB
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\by S.~A.~Zlobin
\paper Properties of coefficients of certain linear forms in generalized polylogarithms
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 41--58
\mathnet{http://mi.mathnet.ru/fpm894}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204422}
\zmath{https://zbmath.org/?q=an:05358115}
\elib{https://elibrary.ru/item.asp?id=9127620}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5655--5668
\crossref{https://doi.org/10.1007/s10958-007-0381-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848864224}
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  • https://www.mathnet.ru/eng/fpm/v11/i6/p41
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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