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This work computes the asymptotics of the non-integer moments of thelogarithmic derivative of characteristic polynomials of matrices from the$SO(2N+1)$ ensemble. It follows from work of Alvarez and Snaith who computedthe asymptotics of the integer moments of the same statistic over both $SO(N)$ensembles as well as the $USp(2N)$ ensemble.

Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over $SO(2N+1)$