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arXiv · 1105.1551

The inverse sieve problem in high dimensions

Miguel N. Walsh
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Abstract

We show that if a big set of integer points in [0,N]^d, d>1, occupies few residue classes mod p for many primes p, then it must essentially lie in the solution set of some polynomial equation of low degree. This answers a question of Helfgott and Venkatesh.

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Miguel N. Walsh. 2011-05-08. The inverse sieve problem in high dimensions. https://doi.org/10.1215/00127094-1645788

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