p(k) ~ f({log₂ k}) k^{-δ} (log k)^{-3/2} with δ ≈ 0.086 and f a smooth positive nearly-constant periodic function on R/Z.
application au problème de l’attente à un guichet, Comptes Rendus de l’Académie des Sciences214 (1942), 452–456
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The proportion of permutations fixing a $k$-set
p(k) ~ f({log₂ k}) k^{-δ} (log k)^{-3/2} with δ ≈ 0.086 and f a smooth positive nearly-constant periodic function on R/Z.