10 citations · 11 across the 4 of their papers we have counts for
4 papers
Lower bound for the poles of Igusa's p-adic zeta functions
Dirk Segers
Let K be a p-adic field, R the valuation ring of K, P the maximal ideal of R and q the cardinality of the residue field R/P. Let f be a polynomial over R in n>1 variables and let χ…
On the smallest poles of Igusa's p-adic zeta functions
Dirk Segers
Let K be a p-adic field. We explore Igusa's p-adic zeta function, which is associated to a K-analytic function on an open and compact subset of K^n. First we deduce a formula for a…
On the poles of topological zeta functions
Ann Lemahieu, Dirk Segers, Willem Veys
We study the topological zeta function Z_{top,f}(s) associated to a polynomial f with complex coefficients. This is a rational function in one variable and we want to determine the…
On the smallest poles of topological zeta functions
Dirk Segers, Willem Veys
We study the local topological zeta function associated to a complex function that is holomorphic at the origin of C^2 (respectively C^3). We determine all possible poles less than…