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On some new types of partitions associated with generalized ferrers graphs
- Source :
- Mathematical Proceedings of the Cambridge Philosophical Society. 47:679-686
- Publication Year :
- 1951
- Publisher :
- Cambridge University Press (CUP), 1951.
-
Abstract
- 1. In this paper we find generating functions and asymptotic expressions for the number of partitions of a positive integer n into two sets of positive integers satisfying the conditionsThe set ‘b’ can be empty. Such partitions are considered by Temperley (1) in a forth-coming paper on the roughness of crystal surfaces. We shall consider them in more detail and under different sets of conditions on the a's and b's.
- Subjects :
- Combinatorics
General Mathematics
Mathematics
Subjects
Details
- ISSN :
- 14698064 and 03050041
- Volume :
- 47
- Database :
- OpenAIRE
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Accession number :
- edsair.doi...........9f36b1dc2e509ec89a4996ade3d32b6b