Moments of Characteristic Polynomials Enumerate Two-Rowed Lexicographic Arrays
Keyword(s):
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 $|\zeta(1/2+it)|$ turn out to be connected with some increasing subsequence problems (such as the last passage percolation problem).
2014 ◽
Vol 157
(3)
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pp. 425-442
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2019 ◽
Vol 371
(2)
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pp. 689-726
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2002 ◽
Vol 123
(2)
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pp. 202-224
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