The distribution of spacings between quadratic residues, II

Details The distribution of spacings between quadratic residues, II The distribution of spacings between quadratic residues, II

1998-12-08

arxiv.org/abs/math/9812047v1

Mathematics

Number Theory

Submitted for publication. 16 pages

Scientific paper

We study the distribution of spacings between squares modulo q as the number
of prime divisors of q tends to infinity. In an earlier paper Kurlberg and
Rudnick proved that the spacing distribution for square free q is Poissonian,
this paper extends the result to arbitrary q.

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