Function fields and random matrices

Douglas Ulmer

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arXiv · 1002.3289

Function fields and random matrices

Douglas Ulmer

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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 $L$-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.

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Douglas Ulmer. 2010-02-17. Function fields and random matrices. https://arxiv.org/abs/1002.3289

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