Function fields and random matrices
Number Theory
2010-02-18 v1
Abstract
This is a survey article written for a workshop on L-functions and random matrix theory at the Newton Institute in July, 2004. The goal is to give some insight into how well-distributed sets of matrices in classical groups arise from families of -functions in the context of function fields of curves over finite fields. The exposition is informal and no proofs are given; rather, our aim is to illustrate what is true by considering key examples.
Cite
@article{arxiv.1002.3289,
title = {Function fields and random matrices},
author = {Douglas Ulmer},
journal= {arXiv preprint arXiv:1002.3289},
year = {2010}
}
Comments
37 pages. Appeared in "Ranks of elliptic curves and random matrix theory" (LMS Lecture Note Series 341), Cambridge Univ. Press, 2007