English

The distribution of spacings between quadratic residues, II

Number Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9812047,
  title  = {The distribution of spacings between quadratic residues, II},
  author = {P. Kurlberg},
  journal= {arXiv preprint arXiv:math/9812047},
  year   = {2007}
}

Comments

Submitted for publication. 16 pages