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Preprint Number 1586

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1586. Kien Huu Nguyen
Uniform rationality of Poincaré series of p-adic equivalence relations and Igusa's conjecture on exponential sums
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Submission date: 15 March 2019

Abstract:

Doctoral thesis, University of Lille

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

Mathematics Subject Classification: 11L07, 03C98, 14E18, 11L05, 11S40, 11U09, 12L12, 11F85, 11T23, 14M25, 03C60, 03C10, 11M41

Keywords and phrases:

Full text arXiv 1903.06738: pdf, ps.


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