2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171324With 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 The same is true of a "random" curve of genus g over the field with p^m elements.This is an unpublished preprint from the mid-1990s. Much of it has been superseded since. Plain TeX, 15 pagesNumber Theory11T23; 22E46text