Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

E. Strahov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageAmerican English
JournalElectronic Journal of Combinatorics
Volume10
Issue number1 R
DOIs
StatePublished - 29 May 2003
Externally publishedYes

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