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Showing 2005 · math.NTShow all
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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…