Published May 2009
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A generalization of MacMahon's formula
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.
Additional Information
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. This work is a part of the author's doctoral dissertation at the California Institute of Technology. The author thanks her advisor, Alexei Borodin, for all his help and Sylvie Corteel for informing her about the generalization of the shifted MacMahon formula. 2000 Mathematics Subject Classification. Primary 05E05, 05A15.Attached Files
Published - Vuletic2009p5579T_Am_Math_Soc.pdf
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Vuletic2009p5579T_Am_Math_Soc.pdf
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Identifiers
- Eprint ID
- 15139
- Resolver ID
- CaltechAUTHORS:20090817-150141601
Dates
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2009-08-18Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field