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arxiv: 1208.4704 · v1 · pith:QGS7SFECnew · submitted 2012-08-23 · 🧮 math.NT · math.AG

The asymptotic behaviour of the number of solutions of polynomial congruences

classification 🧮 math.NT math.AG
keywords asymptoticcongruencesnumberpolynomialsolutionsbehaviorbehaviourclarifies
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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.

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