On the Enumeration of Skew Young Tableaux

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We extend work of McKay, Morse, and Wilf by giving exact formulas and asymptotic formulas for the number of skew Young tableaux T in two situations: (1) the "inside shape" and total number of cells of T are fixed, and (2) the inside shape of T is fixed. The proofs use the theory of symmetric functions and estimates for irreducible characters of the symmetric group due to Thoma, Vershik, Kerov, and Biane.
15 pages; a few typos corrected

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Combinatorics, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/61656

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106115
 http://arxiv.org/abs/math/0106115

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arXiv