Geodesic
Moments of characteristic polynomials enumerate two-rowed lexicographic arrays
The electronic journal of combinatorics, Tome 10 (2003)
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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).
DOI : 10.37236/1717
Classification : 15B52, 20G05, 60K35, 82B43, 11M06
Mots-clés : random unitary matrix, moments of characteristic polynomials, Keating and Snaith conjecture, last passage percolation theory, lexicographic array, Riemann zeta function 
@article{10_37236_1717,
     author = {E. Strahov},
     title = {Moments of characteristic polynomials enumerate two-rowed lexicographic arrays},
     journal = {The electronic journal of combinatorics},
     year = {2003},
     volume = {10},
     doi = {10.37236/1717},
     zbl = {1033.15017},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1717/}
}
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E. Strahov. Moments of characteristic polynomials enumerate two-rowed lexicographic arrays. The electronic journal of combinatorics, Tome 10 (2003). doi: 10.37236/1717

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