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A Combinatorial Approach to the CUE Joint Moment Problem

Snape, George
arXiv (All) · Papers
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combinatoricsmathematical-physicsnumber-theoryprobability
In this paper, we give exact combinatorial expressions for all CUE joint moments on the unit circle, in the case that all exponents are even positive integers, yielding the corresponding asymptotics. We offer two equivalent expressions for these quantities: the first is a sum involving Kostka number
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