J. C. Andrade, C. G. Best
Published 2022-05-15Version 1
We give an analytic proof of the asymptotic behaviour of the moments of moments of the characteristic polynomials of random symplectic and orthogonal matrices. We therefore obtain alternate, integral expressions for the leading order coefficients previously found by Assiotis, Bailey and Keating. We also discuss the conjectures of Bailey and Keating for the corresponding moments of moments of L-functions with symplectic and orthogonal symmetry. Specifically, we show that these conjectures follow from the shifted moments conjecture of Conrey, Farmer, Keating, Rubinstein and Snaith.
Averages of Characteristic Polynomials in Random Matrix Theory
On the moments of characteristic polynomials
Surprising Pfaffian factorizations in Random Matrix Theory with Dyson index $β=2$
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