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Oct 18, 2021 at 20:10 answer added Carlo Beenakker timeline score: 1
Oct 18, 2021 at 19:31 comment added Ofir Gorodetsky In the limit (as the dimension of the matrix gets larger) this should simply tend to the $p$th absolute moment of a standard complex Gaussian, by the work of Diaconis-Shahshahani. The convergence is superexponential, by work of Johansson. I wouldn't expect a closed-form evaluation for non-even moments, unless some Selberg integral miracle happens.
Oct 18, 2021 at 19:07 history asked waldrop CC BY-SA 4.0