Phénomènes de symétrie dans des formes linéaires en polyzêtas

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dc.creatorCresson, Jacky
dc.creatorFischler, Stephane
dc.creatorRivoal, Tanguy
dc.date2006-09-27
dc.date2007-02-12
dc.date.accessioned2026-07-07T07:46:00Z
dc.date.available2026-07-07T07:46:00Z
dc.descriptionWe give two generalizations, in arbitrary depth, of the symmetry phenomenon used by Ball-Rivoal to prove that infinitely many values of Riemann $ζ$ function at odd integers are irrational. These generalizations concern multiple series of hypergeometric type, which can be written as linear forms in some specific multiple zeta values. The proof makes use of the regularization procedure for multiple zeta values with logarithmic divergence.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/math/0609744
dc.identifierhttp://arxiv.org/abs/math/0609744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123689
dc.subjectNumber Theory
dc.subject33C70-11M41-11J72
dc.titlePhénomènes de symétrie dans des formes linéaires en polyzêtas
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