A generalization of MacMahon's formula

Author:
Mirjana Vuletic

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

MSC (2000):
Primary 05E05, 05A15

Published electronically:
November 19, 2008

MathSciNet review:
2471939

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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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Additional Information

**Mirjana Vuletic**

Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, California 91125

Email:
vuletic@caltech.edu

DOI:
http://dx.doi.org/10.1090/S0002-9947-08-04753-3

Received by editor(s):
August 6, 2007

Received by editor(s) in revised form:
January 11, 2008, and February 6, 2008

Published electronically:
November 19, 2008

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.