Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications

Author: Krishnaswami Alladi
Journal: Trans. Amer. Math. Soc. 349 (1997), 2721-2735
MSC (1991): Primary 05A17, 05A19; Secondary 11P83
MathSciNet review: 1422593
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In recent work, Alladi, Andrews and Gordon discovered a key identity which captures several fundamental theorems in partition theory. In this paper we construct a combinatorial bijection which explains this key identity. This immediately leads to a better understanding of a deep theorem of Göllnitz, as well as Jacobi’s triple product identity and Schur’s partition theorem.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 05A17, 05A19, 11P83

Retrieve articles in all journals with MSC (1991): 05A17, 05A19, 11P83

Additional Information

Krishnaswami Alladi
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
MR Author ID: 24845

Keywords: Partitions, Göllnitz’ theorem, distinct parts, weighted words, Sylvester’s identity, sliding operation
Received by editor(s): September 1, 1995
Additional Notes: Research supported in part by National Science Foundation grant DMS 9400191.
Article copyright: © Copyright 1997 American Mathematical Society