Function fields and random matrices

Details Function fields and random matrices Function fields and random matrices

2010-02-17

arxiv.org/abs/1002.3289v1

Mathematics

Number Theory

37 pages. Appeared in "Ranks of elliptic curves and random matrix theory" (LMS Lecture Note Series 341), Cambridge Univ. Press

Scientific paper

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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