A four-parameter partition identity
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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.
KeywordsPartitions Bijective proof Partition identity
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- 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
- 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