38 citations · 147 across the 33 of their papers we have counts for
10 papers · 1 filter
Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields
E. Leon-Cardenal, W. A. Zuniga-Galindo
In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As a…
Poles of Archimedean zeta functions for analytic mappings
E. Leon-Cardenal, Willem Veys, W. A. Zuniga-Galindo
In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal…
Exponential Sums and Polynomial Congruences Along p-adic Submanifolds
Dirk Segers, W. A. Zuniga-Galindo
In this article, we consider the estimation of exponential sums along the points of the reduction mod of a -adic analytic submanifold of . More prec…
Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra
W. A. Zuniga-Galindo
The local zeta functions (also called Igusa's zeta functions) over p-adic fields are connected with the number of solutions of congruences and exponential sums mod p^{m}. These zet…
Motivic Zeta Functions for Curve Singularities
J. J. Moyano-Fernandez, W. A. Zuniga-Galindo
Let X be a complete, geometrically irreducible, singular, algebraic curve defined over a field of characteristic p big enough. Given a local ring O_{P,X} at a rational singular poi…
Zeta Functions for Analytic Mappings, Log-principalization of Ideals, and Newton Polyhedra
Willem Veys, W. A. Zuniga-Galindo
In this paper we provide a geometric description of the possible poles of the Igusa local zeta function associated to an analytic mapping and a locally constant function, in terms…
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…
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,…
Local Zeta Function for Curves, Non Degeneracy Conditions and Newton Polygons
M. J. Saia, W. A. Zuniga-Galindo
This paper is dedicated to the description of the poles of the Igusa local zeta functions when satisfies a new non degeneracy condition, that we have called ari…
Igusa's local zeta functions of semiquasihomogeneous polynomials
W. A. Zuniga-Galindo
In this paper, we prove the rationality of Igusa's local zeta functions of semiquasihomogeneous polynomials with coefficients in a non-archimedean local field K. The proof of this…