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A generalization of Menonʼs identity

✍ Scribed by Marius Tărnăuceanu


Book ID
116673103
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
124 KB
Volume
132
Category
Article
ISSN
0022-314X

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A generalization of Sylvester's identity
✍ Igor Pak; Alexander Postnikov 📂 Article 📅 1998 🏛 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