The theorem " the number of partitions of a positive integer n into distinct odd parts equals the number of partitions of n into parts = 2 and differing by 6 with strict inequality if a part is even" was first discovered and then proved by Krishnaswamy Alladi in the year 1999. The object of this paper is to give a different bijective proof of this result.

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ABSTRACT. In this paper, we prove a particular case of a conjecture of Andrews on two partition functions AA,k,a(n and BA,k,a(n ).

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