On a Partition Function of Richard Stanley

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On a Partition Function of Richard Stanley

In this paper, we examine partitions π classified according to the number r(π) of odd parts in π and s(π) the number of odd parts in π′, the conjugate of π. The generating function for such partitions is obtained when the parts of π are all 5 N . From this a variety of corollaries follow including a Ramanujan type congruence for Stanley’s partition function t(n).

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2004

ISSN: 1077-8926

DOI: 10.37236/1858