Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - 1951 - Volume 47, Issue 04  

Research Article

On some new types of partitions associated with generalized ferrers graphs

F. C. Aulucka1

a1 Delhi University India

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 conditions

S0305004100027134_eqn001

S0305004100027134_eqn002

The 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.

(Received January 10 1951)

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