Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

E. Strahov

doi:10.37236/1717

Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

E. Strahov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 |ζ(1/2 + it)| turn out to be connected with some increasing subsequence problems (such as the last passage percolation problem).

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	10
Issue number	1 R
DOIs	https://doi.org/10.37236/1717
State	Published - 29 May 2003
Externally published	Yes

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Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

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