Two-variable zeta functions and regularized products

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dc.creatorDeninger, Christopher
dc.date2002-10-17
dc.date.accessioned2026-07-07T04:52:04Z
dc.date.available2026-07-07T04:52:04Z
dc.descriptionIn this paper we prove a regularized product expansion for the two-variable zeta functions of number fields introduced by van der Geer and Schoof. The proof is based on a general criterion for zeta-regularizability due to Illies. For number fields of non-zero unit rank our method involves a result of independent interest about the asymptotic behaviour of certain oscillatory integrals in the geometry of numbers. We also explain the cohomological motivation for the paper.
dc.identifierhttps://arxiv.org/abs/math/0210269
dc.identifierhttp://arxiv.org/abs/math/0210269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65334
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11M38; 11M41; 11H41; 14G40
dc.titleTwo-variable zeta functions and regularized products
dc.typetext

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