On the averages of characteristic polynomials from classical groups
Mathematical Physics
2009-11-11 v1 math.MP
Number Theory
Abstract
We provide an elementary and self-contained derivation of formulae for products and ratios of characteristic polynomials from classical groups using classical results due to Weyl and Littlewood.
Cite
@article{arxiv.math-ph/0502043,
title = {On the averages of characteristic polynomials from classical groups},
author = {Daniel Bump and Alex Gamburd},
journal= {arXiv preprint arXiv:math-ph/0502043},
year = {2009}
}