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math-ph2023★ 1 cited
Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications
Jonathan P. Keating, Fei Wei
In a companion paper \cite{jon-fei}, we established asymptotic formulae for the joint moments of derivatives of the characteristic polynomials of CUE random matrices. The leading o…
math-ph2023★ 1 cited
Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae
Jonathan P. Keating, Fei Wei
We derive explicit asymptotic formulae for the joint moments of the -th and -th derivatives of the characteristic polynomials of CUE random matrices for any non-negative…