Skip to main content
Log in

A four-parameter partition identity

  • Published:
The Ramanujan Journal Aims and scope Submit manuscript

Abstract

We present a new partition identity and give a combinatorial proof of our result. This generalizes a result of Andrews in which he considers the generating function for partitions with respect to size, number of odd parts, and number of odd parts of the conjugate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Andrews, G.E.: On a partition function of Richard Stanley. Electronic J. Combin. 11(2) (2004–2005), R1, available from http://www.combinatorics.org

  2. Sills, A.V.: A combinatorial proof of a partition identity of Andrews and Stanley. Int. J. Math. Math. Sci. 2004(47), 2495–2501 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. Stanley, R.P.: Some remarks on sign-balanced and maj-balanced posets. Advances in Applied Math. 34, 880–902 (2005) available from http://www-math.mit.edu/~rstan

  4. Yee, A.J.: On partition functions of Andrews and Stanley. J. Combin. Theory Ser. A 107(2), 313–321 (2004)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cilanne E. Boulet.

Additional information

2000 Mathematics Subject Classification Primary—05A17; Secondary—11P81

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boulet, C.E. A four-parameter partition identity. Ramanujan J 12, 315–320 (2006). https://doi.org/10.1007/s11139-006-0145-4

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11139-006-0145-4

Keywords

Navigation