On a theorem of Baxter and Zeilberger via a result of Roselle

Abstract

We provide a new proof of a result of Baxter and Zeilberger showing that inv and maj on permutations are jointly independently asymptotically normally distributed. The main feature of our argument is that it uses a generating function due to Roselle, answering a question raised by Romik and Zeilberger.

arXiv comment8 pages