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.
| Original language | English |
|---|---|
| Pages (from-to) | 2789-2804 |
| Number of pages | 16 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 361 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2009 |
ASJC Scopus Subject Areas
- General Mathematics
- Applied Mathematics
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