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On Some Combinatorial Interpretations of Slater's Identities

Published online by Cambridge University Press:  20 November 2018

R. P. Lewis
R. P. Lewis*
Affiliation:
Mathematics Division, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton BN1 9QH, U.K.
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Abstract

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Four combinatorial interpretations of identities due to L. J. Slater that have recently been published are slightly incorrect. I show how they may be corrected and also provide a new interpretation of one of these identities.

Keywords

10A45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 311 - 313
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Slater, L. J., Further identities of the Rogers - Ramanujan type, Proc. London Math. Soc, Vol. 54 (1951-52), pp. 147–167.Google Scholar
2. Subbarao, M. V., Some Rogers - Ramanujan type partition theorems, Pacific J. Math., Vol. 120 (1985), pp. 431–435.Google Scholar
3. Subbarao, M. V. and Agarwal, A. K., Further theorems of the Rogers - Ramanujan type theorems, Canad. Math. Bull., Vol. 31 (2) (1988), pp. 210–214.Google Scholar