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Generalization of Zimmermann's normal-product identity

✍ Scribed by T.E. Clark; J.H. Lowenstein

Book ID
116141904
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
948 KB
Volume
113
Category
Article
ISSN
0550-3213

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A generalization of Sylvester's identity
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✍ Igor Pak; Alexander Postnikov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 218 KB

We consider a new generalization of Euler's and Sylvester's identities for partitions. Our proof is based on an explicit bijection. ## 1. Main results A partition 2 of n is a sequence (21,22 ..... 2/) of positive integers such that )-1 >t 22 >~ ... ~> 2/> 0 and y~ 2/= n. The numbers 2i are called