On multiple integrals represented as a linear form in \(1, \zeta (3), \zeta (5),\ldots, \zeta (2k - 1)\)

DOI10.1007/S10958-007-0389-6zbMath1204.11115OpenAlexW2053477749MaRDI QIDQ950803

A. Frolovichev, V. Kh. Salikhov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0389-6

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Polylogarithms and relations with (K)-theory (11G55) Higher logarithm functions (33B30)

Cites Work

• Arithmetic of linear forms involving odd zeta values
• Expansion of multiple integrals in linear forms
• A Note on the Irrationality of ζ(2) and ζ(3)
• WELL-POISED HYPERGEOMETRIC TRANSFORMATIONS OF EULER-TYPE MULTIPLE INTEGRALS

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