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- Title
MacMahons partition analysis XII: Plane partitions.
- Authors
George E. Andrews; Peter Paule
- Abstract
MacMahon developed partition analysis as a calculational and analytic method to produce the generating function for plane partitions. His efforts did not turn out as he had hoped, and he had to spend nearly twenty years finding an alternative treatment. This paper provides a detailed account of our retrieval of MacMahons original project. One of the key results obtained with partition analysis is an extension of a theorem of Gansner which generalizes Stanleys famous trace theorem.
- Subjects
PARTITIONS (Mathematics); GENERATING functions; ANALYTIC geometry of planes; TRACE formulas; MATHEMATICAL analysis
- Publication
Journal of the London Mathematical Society, 2007, Vol 76, Issue 3, p647
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/jlms/jdm079