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arxiv: math/9812047 · v1 · submitted 1998-12-08 · 🧮 math.NT

The distribution of spacings between quadratic residues, II

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keywords distributionspacingsarbitrarydivisorsearlierextendsfreeinfinity
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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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