A generalization of Sylvester's identity
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Igor Pak; Alexander Postnikov
📂
Article
📅
1998
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Elsevier Science
🌐
English
⚖ 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