The asymptotic behaviour of the number of solutions of polynomial congruences

Abstract

One mentions in a lot of papers that the poles of Igusa's p-adic zeta function determine the asymptotic behavior of the number of solutions of polynomial congruences. However, no publication clarifies this connection precisely. We try to get rid of this gap.

arXiv comment6 pages

References in corpus (1)

• On the smallest poles of Igusa's p-adic zeta functions