Some generalizations of the MacMahon Master Theorem

Michael P. Tuite

doi:10.13025/15383

Some generalizations of the MacMahon Master Theorem

Michael P. Tuite

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We consider a number of generalizations of the β-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations over matrix or submatrix indices.

Original language	English
Pages (from-to)	92-101
Number of pages	10
Journal	Journal of Combinatorial Theory. Series A
Volume	120
Issue number	1
DOIs	https://doi.org/10.13025/15383 https://doi.org/10.1016/j.jcta.2012.07.007
Publication status	Published - 2013

Keywords

MacMahon Master Theorem
Partial permutations
β-extended permanent

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10.13025/15383Licence: CC BY-NC-ND
10.1016/j.jcta.2012.07.007

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abstract = "We consider a number of generalizations of the β-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations over matrix or submatrix indices.",

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KW - Partial permutations

KW - β-extended permanent

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Some generalizations of the MacMahon Master Theorem

Abstract

Keywords

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