Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values

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dc.creatorOi, Shu
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:09:08Z
dc.date.available2026-07-07T10:09:08Z
dc.descriptionIn this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation. Moreover, combining this representation with the connection relations of solutions of the Gauss hypergeometric equation, we obtain various relations of the multiple polylogarithms of one variable and the multiple zeta values.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0810.1829
dc.identifierhttp://arxiv.org/abs/0810.1829
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171227
dc.subjectQuantum Algebra
dc.subjectNumber Theory
dc.subject11M06; 33C05
dc.titleRepresentation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values
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