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The number of inversions in permutations: A saddle point approach. (English) Zbl 1024.05006
Summary: Using the saddle point method, we obtain from the generating function of the inversion numbers of permutations and Cauchy’s integral formula asymptotic results in central and noncentral regions.

MSC:
05A16 Asymptotic enumeration
05A10 Factorials, binomial coefficients, combinatorial functions
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