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Legendre theorems for subclasses of overpartitions.
- Source :
-
Journal of Combinatorial Theory - Series A . Nov2016, Vol. 144, p16-36. 21p. - Publication Year :
- 2016
-
Abstract
- A.M. Legendre noted that Euler's pentagonal number theorem implies that the number of partitions of n into an even number of distinct parts almost always equals the number of partitions of n into an odd number of distinct parts (the exceptions occur when n is a pentagonal number). Subsequently other classes of partitions, including overpartitions, have yielded related Legendre theorems. In this paper, we examine four subclasses of overpartitions that have surprising Legendre theorems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 144
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 117318235
- Full Text :
- https://doi.org/10.1016/j.jcta.2016.06.011