The Sato-Tate Distribution in Thin Parametric Families of Elliptic Curves

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dc.contributor.authorBretèche RDL
dc.contributor.authorSha M
dc.contributor.authorShparlinski IE
dc.contributor.authorVoloch JF
dc.date.accessioned2017-05-12T04:50:17Z
dc.date.available2017-05-12T04:50:17Z
dc.date.issued2015en
dc.date.updated2017-05-09T20:33:29Z
dc.description.abstractWe obtain new results concerning the Sato-Tate conjecture on the distribution of Frobenius traces over single and double parametric families of elliptic curves. We consider these curves for values of parameters having prescribed arithmetic structure: product sets, geometric progressions, and most significantly prime numbers. In particular, some families are much thinner than the ones previously studied.en
dc.identifier.citationBretèche RDL, Sha M, Shparlinski IE, Voloch JF The Sato-Tate Distribution in Thin Parametric Families of Elliptic Curves.en
dc.identifier.urihttp://hdl.handle.net/10092/13456
dc.language.isoen
dc.relation.urihttp://arxiv.org/abs/1509.03009v3en
dc.subjectmath.NTen
dc.subject11G05en
dc.subject11G20en
dc.subject14H52en
dc.subjectSato–Tate conjectureen
dc.subjectparametric families of elliptic curvesen
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490401 - Algebra and number theoryen
dc.titleThe Sato-Tate Distribution in Thin Parametric Families of Elliptic Curvesen
dc.typeReportsen
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