The Normal Distribution as a Limit of Generalized Sato-Tate Measures

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dc.creatorLarsen, Michael
dc.date2008-10-11
dc.date.accessioned2026-07-07T10:09:27Z
dc.date.available2026-07-07T10:09:27Z
dc.descriptionWith suitable order of limits, as p, m, and n all tend to infinity, the distribution of the normalized trace of Frobenius on H^1 of a "random" plane curve of degree n over the field with p^m elements, tends to a Gaussian distribution. The same is true of a "random" curve of genus g over the field with p^m elements.
dc.descriptionThis is an unpublished preprint from the mid-1990s. Much of it has been superseded since. Plain TeX, 15 pages
dc.identifierhttps://arxiv.org/abs/0810.2012
dc.identifierhttp://arxiv.org/abs/0810.2012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171324
dc.subjectNumber Theory
dc.subject11T23; 22E46
dc.titleThe Normal Distribution as a Limit of Generalized Sato-Tate Measures
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