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arXiv · 0707.0532

A generalization of MacMahon's formula

Mirjana Vuletić
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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.

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Mirjana Vuletić. 2007-07-04. A generalization of MacMahon's formula. https://arxiv.org/abs/0707.0532

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