The inverse sieve problem in high dimensions

Details The inverse sieve problem in high dimensions The inverse sieve problem in high dimensions

2011-05-08

arxiv.org/abs/1105.1551v2

Mathematics

Number Theory

15 pages. Added more examples in Section 5 and some minor changes

Scientific paper

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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