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Some Partitions of a Symmetric Matrix

โœ Scribed by A. Duane Porter


Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
272 KB
Volume
84
Category
Article
ISSN
0025-584X

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Some Observations on Dyson's New Symmetr
โœ Alexander Berkovich; Frank G. Garvan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 281 KB

We utilize Dyson's concept of the adjoint of a partition to derive an infinite family of new polynomial analogs of Euler's Pentagonal Number Theorem. We streamline Dyson's bijection relating partitions with crank 4k and those with k in the Rank-Set of partitions. Also, we extend Dyson's adjoint of a