International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 24, Pages 1497-1508
doi:10.1155/S0161171203209303
The derangement problem relative to the Mahonian process
Mathematics Department, California Polytechnic State University, San Luis Obispo 93407, CA, USA
Received 23 September 2002
Copyright © 2003 Jessica Delfert et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We survey n! plus q-derangement problems. Solutions to four
Mahonian statistics arising in connection with cycle placement
rules are presented. A few conjectures are also made.