Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values

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dc.creatorOi, Shu
dc.date2004-05-10
dc.date2004-06-11
dc.date.accessioned2026-07-07T05:08:04Z
dc.date.available2026-07-07T05:08:04Z
dc.descriptionWe describe a solution of the Gauss hypergeometric equation, $F(α,β,γ;z)$ by power series in paramaters $α,β,γ$ whose coefficients are $\Z$ linear combinations of multiple polylogarithms. And using the representation and connection reletions of solutions of the hypergeometric equation, we show some relations of multiple zeta values.
dc.identifierhttps://arxiv.org/abs/math/0405162
dc.identifierhttp://arxiv.org/abs/math/0405162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71114
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Algebra
dc.subject11M06; 40B05; 33C05
dc.titleRepresentation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values
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