A generalization of MacMahon's formula

Mirjana Vuletić

A generalization of MacMahon's formula

Combinatorics 2009-03-11 v1 Mathematical Physics math.MP

Authors: Mirjana Vuletić

Abstract

We generalize the generating formula for plane partitions known as MacMahon's formula as well as its analog for strict plane partitions. We give a 2-parameter generalization of these formulas related to Macdonald's symmetric functions. The formula is especially simple in the Hall-Littlewood case. We also give a bijective proof of the analog of MacMahon's formula for strict plane partitions.

Keywords

macdonald polynomials generalization theorems partition theory

Cite

@article{arxiv.0707.0532,
  title  = {A generalization of MacMahon's formula},
  author = {Mirjana Vuletić},
  journal= {arXiv preprint arXiv:0707.0532},
  year   = {2009}
}

Comments

19 pages, 5 figures

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