Geodesic
The number of inversions in permutations: A saddle point approach
Journal of integer sequences, Tome 6 (2003) no. 2
Zbl   EuDML
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.
Classification : 05A16, 05A10
Keywords: inversions, permutations, saddle point method 
Louchard,  Guy; Prodinger,  Helmut. The number of inversions in permutations: A saddle point approach. Journal of integer sequences, Tome 6 (2003) no. 2. http://geodesic.mathdoc.fr/item/JIS_2003__6_2_a5/
@article{JIS_2003__6_2_a5,
     author = {Louchard,  Guy and Prodinger,  Helmut},
     title = {The number of inversions in permutations: {A} saddle point approach},
     journal = {Journal of integer sequences},
     year = {2003},
     volume = {6},
     number = {2},
     zbl = {1024.05006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2003__6_2_a5/}
}
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UR  - http://geodesic.mathdoc.fr/item/JIS_2003__6_2_a5/
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