Mark Conger

most citedA Refinement of the Eulerian Numbers, and the Joint Distribution of

π (1)

and Des(

π

) in

S_{n}

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math.CO2005★ 2 cited

A Refinement of the Eulerian Numbers, and the Joint Distribution of $π (1)$ and Des( $π$ ) in $S_{n}$

Mark Conger

Given a permutation $π$ chosen uniformly from $S_{n}$ , we explore the joint distribution of $π (1)$ and the number of descents in $π$ . We obtain a formula for the number of permutatio…

A Refinement of the Eulerian Numbers, and the Joint Distribution of π(1) and Des(π) in Sn​

A Refinement of the Eulerian Numbers, and the Joint Distribution of $π (1)$ and Des( $π$ ) in $S_{n}$