A generalization of MacMahon's formula

Details A generalization of MacMahon's formula A generalization of MacMahon's formula

2007-07-04

arxiv.org/abs/0707.0532v1

Trans. Amer. Math. Soc. 361 (2009), 2789-2804

Mathematics

Combinatorics

19 pages, 5 figures

Scientific paper

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.

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