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math.CO2014★ 1 cited
An extension of MacMahon's Equidistribution Theorem to ordered set partitions
Jeffrey B. Remmel, Andrew Timothy Wilson
We prove a conjecture of Haglund which can be seen as an extension of the equidistribution of the inversion number and the major index over permutations to ordered set partitions.…
math.CO2014★ 5 cited
Block patterns in Stirling permutations
Jeffrey B. Remmel, Andrew Timothy Wilson
We introduce and study a new notion of patterns in Stirling and -Stirling permutations, which we call block patterns. We prove a general result which allows us to compute genera…