The distribution of spacings between quadratic residues

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dc.creatorKurlberg, P.
dc.creatorRudnick, Z.
dc.date1998-12-08
dc.date1999-01-07
dc.date.accessioned2026-07-07T05:27:09Z
dc.date.available2026-07-07T05:27:09Z
dc.descriptionWe study the distribution of spacings between squares modulo q, where q is square-free and highly composite, in the limit as the number of prime factors of q goes to infinity. We show that all correlation functions are Poissonian, which among other things, implies that the spacings between nearest neighbors, normalized to have unit mean, have an exponential distribution.
dc.description38 pages; introduction and section 6.2 revised, references updated. To appear in Duke Math. Journal
dc.identifierhttps://arxiv.org/abs/math/9812046
dc.identifierhttp://arxiv.org/abs/math/9812046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77815
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subject11
dc.titleThe distribution of spacings between quadratic residues
dc.typetext

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