Moments of characteristic polynomials enumerate two-rowed lexicographic arrays
E Strahov
Abstract
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 ξ(1/2+it) turn out to be connected with some increasing subsequences problems (such as the last passage percolation problem).
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