| A Multi-Set Identity for Partitions (2009) | |||||||||
Abstract | |||||||||
| We prove that the multiset {(RightArmLength,LeftArmLength)} ranging over all cells of all Ferrers diagrams with n cells equals the multiset {(RightArmLength,LegLength)} ranging over all cells of all Ferrers diagrams with n cells, thereby refining a multi-set identity proved by C. Bessenrodt and by Bacher and L. Manivel. Added In revised version: Guo-Niu Han kindly pointed out to us that our main result is contained in reference [B.H] of the present article.. Comment: 4 pages, an on-line figure in http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/TemunaFerrers.html | |||||||||
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