The inverse sieve problem in high dimensions

Published 8 May 2011 in math.NT | (1105.1551v2)

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

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