Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

Details Moments of characteristic polynomials enumerate two-rowed lexicographic arrays Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

2001-12-19

arxiv.org/abs/math-ph/0112043v1

Physics

Mathematical Physics

9 pages, no figures

Scientific paper

A combinatorial interpretation is provided for the moments of characteristic
polynomials of random unitary matrices. This leads to a rather unexpected
consequence of the Keating and Snaith conjecture: the moments of
$\mid\xi(1/2+it)\mid$ turn out to be connected with some increasing
subsequences problems (such as the last passage percolation problem).

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