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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…
math.AG2003
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…