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.
Generating Functions of Random Walks on Graphs
The Number of Convex Polyominoes and the Generating Function of Jacobi Polynomials
Generating Functions, Weighted and Non-Weighted Sums for Powers of Second-Order Recurrence Sequences
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