An extension of MacMahon's Equidistribution Theorem to ordered multiset partitions

A classical result of MacMahon states that inversion number and major index have the same distribution over permutations of a given multiset. In this work we prove a strengthening of this theorem originally conjectured by Haglund. Our result can be seen as an equidistribution theorem over the ordere...

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Auteur principal:	Andrew Timothy Wilson
Format:	Artigo
Langue:	Inglês
Publié:	Discrete Mathematics & Theoretical Computer Science 2014-01-01
Collection:	Discrete Mathematics & Theoretical Computer Science
Sujets:	inversion number major index permutation statistics insertion method ordered multiset partitions macdonald polynomials [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co]
Accès en ligne:	https://dmtcs.episciences.org/2405/pdf
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