AbstractWe give a very explicit formula for Igusa's local zeta function Zf(s) associated to a polynomial f in several variables over the p-adic numbers, when f is sufficiently non-degenerated with respect to its Newton polyhedron Γ(f). Using this formula and the estimates of Adolphson and Sperber on exponential sums over finite fields, we study the largest real pole different from −1 of Zf(s)
It is known that Shintani zeta functions, which generalise multiple zeta functions, extend to meromo...
The numerical data of an embedded resolution determine the candidate poles of Igusa's p-adic zeta fu...
The local topological zeta function is a rational function associated to a germ of a complex holomor...
We give a very explicit formula for Igusa's local zeta function Z(f)(s) associated to a polynomial f...
AbstractWe give a very explicit formula for Igusa's local zeta function Zf(s) associated to a polyno...
We determine an explicit formula for the Igusa local zeta function corresponding to the character ＄￥...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
A new method is devised for calculating the Igusa local zeta function Z_f of a polynomial f(x_1,,,,,...
The global and local topological zeta functions are singularity invariants associated to a polynomia...
In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, w...
In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, w...
© 2019 We prove a recent conjecture due to Cluckers and Veys on exponential sums modulo pm for m≥2 i...
AbstractThis paper describes the theory of the Igusa local zeta function associated with a polynomia...
It is known that Shintani zeta functions, which generalise multiple zeta functions, extend to meromo...
The numerical data of an embedded resolution determine the candidate poles of Igusa's p-adic zeta fu...
The local topological zeta function is a rational function associated to a germ of a complex holomor...
We give a very explicit formula for Igusa's local zeta function Z(f)(s) associated to a polynomial f...
AbstractWe give a very explicit formula for Igusa's local zeta function Zf(s) associated to a polyno...
We determine an explicit formula for the Igusa local zeta function corresponding to the character ＄￥...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers ...
A new method is devised for calculating the Igusa local zeta function Z_f of a polynomial f(x_1,,,,,...
The global and local topological zeta functions are singularity invariants associated to a polynomia...
In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, w...
In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, w...
© 2019 We prove a recent conjecture due to Cluckers and Veys on exponential sums modulo pm for m≥2 i...
AbstractThis paper describes the theory of the Igusa local zeta function associated with a polynomia...
It is known that Shintani zeta functions, which generalise multiple zeta functions, extend to meromo...
The numerical data of an embedded resolution determine the candidate poles of Igusa's p-adic zeta fu...
The local topological zeta function is a rational function associated to a germ of a complex holomor...
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