10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.NT2005★ 1 cited
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…
math.NT2005★ 10 cited
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…
math.AG2005
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…