Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772549 | Journal of Number Theory | 2017 | 34 Pages |
Abstract
We determine in this paper the distribution of the number of points on the cyclic covers of P1(Fq) with affine models C:Yr=F(X), where F(X)âFq[X] and rth-power free when q is fixed and the genus, g, tends to infinity. This generalizes the work of Kurlberg and Rudnick and Bucur, David, Feigon and Lalin who considered different families of curves over Fq. In all cases, the distribution is given by a sum of random variables.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Patrick Meisner,