On a Partition Function of Richard Stanley

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

• Type: Journal
• Year: 2004
• Where: COMBINATORICS
• Authors: George E. Andrews
• Keywords: COMBINATORICS 2004, Generating Function, Odd Parts, Ramanujan Type Congruence