38 citations · 147 across the 33 of their papers we have counts for
4 papers · 1 filter
Local Zeta Functions, pseudodifferential operators, and Sobolev-type spaces over non-Archimedean Local Fields
W. A. Zúñiga-Galindo
In this article we introduce a new type of local zeta functions and study some connections with pseudodifferential operators in the framework of non-Archimedean fields. The new loc…
Zeta functions and oscillatory integrals for meromorphic functions
Willem Veys, W. A. Zuniga-Galindo
In the 70's Igusa developed a uniform theory for local zeta functions and oscillatory integrals attached to polynomials with coefficients in a local field of characteristic zero. I…
On the poles of Igusa's Local Zeta Function for algebraic sets
W. A. Zuniga-Galindo
The aim of this paper is to describe explicitly the poles of the meromorphic continuation of the Igusa local zeta function associated to several polynomials. Using resolution of si…
Computing Igusa's local zeta functions of univariate polynomials, and linear feedback shift registers
W. A. Zúñiga-Galindo
In this paper we present a polynomial time algorithm to compute the local zeta function Z(s,f) attached to a polynomial f(x) in Z[x] (in one variable, with splitting field Q) and a…