Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415525 | Journal of Number Theory | 2015 | 35 Pages |
Abstract
For a function field k over a finite field with Fq as the field of constants, and a finite abelian group G whose exponent divides qâ1, we study the distribution of zeta zeroes for a random G-extension of k, ordered by the degree of conductors. We prove that when the degree goes to infinity, the number of zeta zeroes lying in a prescribed arc is uniformly distributed and the variance follows a Gaussian distribution.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maosheng Xiong,