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Title: Poles of the Igusa local zeta function of some hybrid polynomials
Authors: León-Cardenal, Edwin ×
Ibadula, Denis
Segers, Dirk #
Issue Date: Jan-2014
Publisher: Academic Press
Series Title: Finite Fields and their Applications vol:25 pages:37-48
Abstract: Hybrid polynomials were introduced by Hauser [6] in connection with the problem of extending HinorakaŹ¼s resolution of singularities theorem to fields of positive characteristic. In this paper we study the local zeta function associated to some hybrid polynomials defined over a non-archimedean local field of positive characteristic, by using essentially the π -adic stationary phase formula. We show the rationality of these local zeta functions and we describe completely its poles. For this class of polynomials we also met the classical results about exponential sums mod πm.
ISSN: 1071-5797
Publication status: submitted
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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