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A generalization of MacMahon's formula
Author(s):
Mirjana
Vuletic
Journal:
Trans. Amer. Math. Soc.
361
(2009),
2789-2804.
MSC (2000):
Primary 05E05, 05A15
Posted:
November 19, 2008
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References |
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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.
References:
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Additional Information:
Mirjana
Vuletic
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Email:
vuletic@caltech.edu
DOI:
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
Posted:
November 19, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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