The distribution of spacings between quadratic residues, II

1998/12/08 by P. Kurlberg, Kurlberg, P. · 1 citation
Mathematics · #11 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11

paper · pdf · doi:10.48550/arxiv.math/9812047

Submitted for publication. 16 pages

arxiv created 1998/12/08 · arxiv updated 2009/11/30

Abstract

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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