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A generalization of Jameson's method for Sylvester's matrix equation

โœ Scribed by Ward, A. J. B.

Book ID
121405978
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
335 KB
Volume
29
Category
Article
ISSN
0020-739X

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A generalization of Sylvester's identity
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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