Coefficients of the poles of local zeta functions and their applications to oscillating integrals

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dc.creatorOkada, Toshihisa
dc.creatorTakeuchi, Kiyoshi
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:23Z
dc.date.available2026-07-07T12:56:23Z
dc.descriptionWe introduce a new method which enables us to calculate the coefficients of the poles of local zeta functions very precisely and prove some explicit formulas. Some vanishing theorems for the candidate poles of local zeta functions will be also given. Moreover we apply our method to oscillating integrals and obtain an explicit formula for the coefficients of their asymptotic expansions.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0903.4265
dc.identifierhttp://arxiv.org/abs/0903.4265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224564
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject14P99;11S90;46F15
dc.titleCoefficients of the poles of local zeta functions and their applications to oscillating integrals
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