Some generalizations of the MacMahon Master Theorem

Michael P. Tuite

doi:10.1016/j.jcta.2012.07.007

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/10.1016/j.jcta.2012.07.007
Publication status	Published - 2013

Keywords

MacMahon Master Theorem
Partial permutations
β-extended permanent

Access to Document

10.1016/j.jcta.2012.07.007

Cite this

@article{43d907296353474d912282da7a8add71,

title = "Some generalizations of the MacMahon Master Theorem",

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.",

keywords = "MacMahon Master Theorem, Partial permutations, β-extended permanent",

author = "Tuite, \{Michael P.\}",

year = "2013",

doi = "10.1016/j.jcta.2012.07.007",

language = "English",

volume = "120",

pages = "92--101",

journal = "Journal of Combinatorial Theory. Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Some generalizations of the MacMahon Master Theorem

AU - Tuite, Michael P.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - MacMahon Master Theorem

KW - Partial permutations

KW - β-extended permanent

UR - https://www.scopus.com/pages/publications/84864044849

U2 - 10.1016/j.jcta.2012.07.007

DO - 10.1016/j.jcta.2012.07.007

M3 - Article

SN - 0097-3165

VL - 120

SP - 92

EP - 101

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

IS - 1

ER -

Some generalizations of the MacMahon Master Theorem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this