Uniform rationality of Poincar\'e series of p-adic equivalence relations and Igusa's conjecture on exponential sums

Kien Huu Nguyen

arxiv: 1903.06738 · v1 · pith:GVFLRFXNnew · submitted 2019-03-15 · 🧮 math.NT · math.AG· math.LO

Uniform rationality of Poincar\'e series of p-adic equivalence relations and Igusa's conjecture on exponential sums

Kien Huu Nguyen This is my paper

classification 🧮 math.NT math.AGmath.LO

keywords conjectureequivalenceexponentialigusap-adicpoincarrationalityrelations

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This thesis contains some new results on the uniform rationality of Poincar\'e series of p-adic equivalence relations and Igusa's conjecture on exponential sums

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Uniform rationality of Poincar\'e series of p-adic equivalence relations and Igusa's conjecture on exponential sums

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