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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2012

Distribution of residues in approximate subgroups of $\mathbb{F}_p^*$

Résumé

We extend a result due to Bourgain on the uniform distribution of residues by proving that subsets of the type $f(I)\cdot H$ is equidistributed (as $p$ tends to infinity) where $f$ is a polynomial, $I$ is an interval of $\Fp$ and $H$ is an approximate subgroup of $\mathbb{F}_p^*$ with size larger than polylogarithmic in $p$.

Dates et versions

hal-00867368 , version 1 (29-09-2013)

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Citer

Norbert Hegyvári, François Hennecart. Distribution of residues in approximate subgroups of $\mathbb{F}_p^*$. Proceedings of the American Mathematical Society, 2012, 140, pp.1-6. ⟨hal-00867368⟩
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