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Some New Results on Partitions

✍ Scribed by Nathan J. Fine

Book ID
123669465
Publisher
National Academy of Sciences
Year
1948
Tongue
English
Weight
149 KB
Volume
34
Category
Article
ISSN
0027-8424

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πŸ“œ SIMILAR VOLUMES

Some Observations on Dyson's New Symmetr
Some Observations on Dyson's New Symmetries of Partitions
✍ Alexander Berkovich; Frank G. Garvan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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