|Journal of Integer Sequences, Vol. 6 (2003), Article 03.2.8|
University of the Witwatersrand
The John Knopfmacher Centre for Applicable Analysis and Number Theory
School of Mathematics
P. O. Wits
Abstract: 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.
Received November 15, 2002; revised version received July 3, 2003. Published in Journal of Integer Sequences July 22, 2003.