On a partition function of Richard Stanley

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Abstract

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 ≦ N. From this a variety of corollaries follow including a Ramanujan type congruence for Stanley's partition function t(n).

Original languageEnglish (US)
JournalElectronic Journal of Combinatorics
Volume11
Issue number2 R
DOIs
StatePublished - Jan 2 2004

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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