Regularization and generalized double shuffle relations for p-adic multiple zeta values

dc.creatorFurusho, Hidekazu
dc.creatorJafari, Amir
dc.date2005-10-31
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:48:10Z
dc.date.available2026-07-07T06:48:10Z
dc.descriptionWe will introduce a regularization for $p$-adic multiple zeta values and show that the generalized double shuffle relations hold. This settles a question raised by Deligne, given as a project in Arizona winter school 2002. Our approach is to use the theory of Coleman functions on the moduli space of genus zero curves with marked points and its compactification. The main ingredients are the analytic continuation of Coleman functions to the normal bundle of divisors at infinity and definition of a special tangential base point on the moduli space.
dc.identifierhttps://arxiv.org/abs/math/0510681
dc.identifierhttp://arxiv.org/abs/math/0510681
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103895
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleRegularization and generalized double shuffle relations for p-adic multiple zeta values
dc.typetext

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