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

Jessica Delfert , Hillary Einziger and Don Rawlings

Mathematics Department, California Polytechnic State University, San Luis Obispo 93407, CA, USA

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.