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arxiv: 1902.06724 · v1 · pith:5WEAEDW6new · submitted 2019-02-18 · 🧮 math.CO

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

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keywords zeilbergerbaxterresultroselleansweringargumentasymptoticallydistributed
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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.

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