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On some consequences of Bohr's symmetry

✍ Scribed by S.M. Bilenky; R.M. Ryndin


Publisher
Elsevier Science
Year
1964
Weight
240 KB
Volume
13
Category
Article
ISSN
0031-9163

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Some Observations on Dyson's New Symmetr
✍ 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