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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
PII: S 0002-9947(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.