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A generalization of Newton's identity and Macdonald functions

โœ Scribed by Cai, Tommy Wuxing; Jing, Naihuan


Book ID
122234924
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
315 KB
Volume
125
Category
Article
ISSN
0097-3165

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A generalization of Sylvester's identity
โœ Igor Pak; Alexander Postnikov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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