On a partition function of Richard Stanley

Research output: Contribution to journalArticle

14 Citations (Scopus)

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
StatePublished - Jan 2 2004

Fingerprint

Partition Function
Odd
Partition
Ramanujan
Congruence
Generating Function
Corollary

All Science Journal Classification (ASJC) codes

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

Cite this

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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).",
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On a partition function of Richard Stanley. / Andrews, George E.

In: Electronic Journal of Combinatorics, Vol. 11, No. 2 R, 02.01.2004.

Research output: Contribution to journalArticle

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