English

Some Generalizations of the MacMahon Master Theorem

Combinatorics 2014-01-22 v1

Abstract

We consider a number of generalizations of the β\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.

Keywords

Cite

@article{arxiv.1111.4047,
  title  = {Some Generalizations of the MacMahon Master Theorem},
  author = {Michael P. Tuite},
  journal= {arXiv preprint arXiv:1111.4047},
  year   = {2014}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-21T19:37:27.686Z