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Hook Length Formulas for Partitions and Plane Trees

Hook lengths and shifted parts of partitions

By Guo-Niu Han

[download the paper: .ps - .pdf, 9 pages, 2008/07/17]

Abstract. Some conjectures on partition hook lengths, recently stated by the author, have been proved and generalized by Stanley, who also needed a formula by Andrews, Goulden and Jackson on symmetric functions to complete his derivation. Another identity on symmetric functions can be used instead. The purpose of this note is to prove it.



Back to Hook Formulas Homepage - Last update: 2008/07/17