The Normal Distribution as a Limit of Generalized Sato-Tate Measures
Abstract
Description
With 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This is an unpublished preprint from the mid-1990s. Much of it has been superseded since.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 pages
This is an unpublished preprint from the mid-1990s. Much of it has been superseded since. Plain TeX, 15 pages