Title: A vanishing result for Igusa's p-adic zeta functions with character
Authors: Segers, Dirk # ×
Issue Date: Oct-2007
Publisher: Société Mathématique de Belgique
Series Title: Bulletin of the Belgian Mathematical Society - Simon Stevin vol:14 issue:4 pages:735-754
Abstract: Let K be a p-adic field and let f be a K-analytic function on an open and compact subset of K^3. Let R be the valuation ring of K and let \chi be an arbitrary character of R^x. Let Z_{f,\chi}(s) be Igusa's p-adic zeta function. In this paper, we prove a vanishing result for candidate poles of Z_{f,\chi}(s). This result implies that Z_{f,\chi}(s) has no pole with real part less than -1 if f has no point of multiplicity 2.
ISSN: 1370-1444
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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