A generalized Golomb-Dickman constant λ_θ is defined for Ewens-sampled permutations and expressed via an integral involving the exponential integral, with asymptotics for small and large θ.
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On the Golomb-Dickman constant under Ewens sampling
A generalized Golomb-Dickman constant λ_θ is defined for Ewens-sampled permutations and expressed via an integral involving the exponential integral, with asymptotics for small and large θ.