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arXiv:1111.4047 [math.CO]AbstractReferencesReviewsResources

Some Generalizations of the MacMahon Master Theorem

Michael P. Tuite

Published 2011-11-17Version 1

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

Comments: 16 pages, 4 figures
Journal: Journal of Combinatorial Theory Series A 120 (2013) 92
Categories: math.CO
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