2 citations · 3 across the 4 of their papers we have counts for
8 papers
Pseudo-differential equations connected with p-adic forms and local zeta functions
W. A. Zuniga-Galindo
We study the asymptotics of fundamental solutions of p-adic pseudo-differential equations connected with homogeneous polynomials by using techniques of local zeta functions theory.
Computing Igusa's Local Zeta Functions of Univariate Polynomials, and Linear Feedback Shift Registers
W. A. Zuniga-Galindo
We give a polynomial time algorithm for computing the Igusa local zeta function attached to a polynomial $f(x)\in \QTR{Bbb}{Z}[x]$, in one variable, with splitting field $…
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…
Exponential Sums Along p-adic Curves
W. A. Zuniga-Galindo
Let K be a p-adic field, R the valuation ring of K, and P the maximal ideal of R. Let be a non-singular closed curve, and Y_{m} its image in R/P^{m} times R/P^{m…
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…
Local zeta functions and Newton polyhedra
W. A. Zuniga-Galindo
To a polynomial over a non-archimedean local field and a character of the group of units of the valuation ring of one associates Igusa's local zeta function $Z(s,f,…