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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 143–178 (Mi fpm891)  
On multiple integrals represented as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$

V. Kh. Salikhova, A. I. Frolovichevb

a Bryansk Institute of Transport Engineering
b Bryansk State Technical University
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Abstract: A theorem on the presentability of a multiple integral as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$ over $\mathbb Q$ is proved. This theorem refines the results recently obtained by D. Vasiliev, V. Zudilin, and S. Zlobin.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5731–5758
DOI: https://doi.org/10.1007/s10958-007-0389-6
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: V. Kh. Salikhov, A. I. Frolovichev, “On multiple integrals represented as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$”, Fundam. Prikl. Mat., 11:6 (2005), 143–178; J. Math. Sci., 146:2 (2007), 5731–5758
Citation in format AMSBIB
\Bibitem{SalFro05}
\by V.~Kh.~Salikhov, A.~I.~Frolovichev
\paper On multiple integrals represented as a~linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 143--178
\mathnet{http://mi.mathnet.ru/fpm891}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204430}
\zmath{https://zbmath.org/?q=an:05358123}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5731--5758
\crossref{https://doi.org/10.1007/s10958-007-0389-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848869027}
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    		Фундаментальная и прикладная математика
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