金丝雀 发表于 2025-3-26 23:10:48
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Partitions with "N copies of N", Model and have recently been studied in . To exhibit the importance of our main theorem we present three particular cases which yield elegant partition identities of Rogers-Ramanujan Type. We shall also pose a very significant open problem.Negotiate 发表于 2025-3-27 07:10:41
Relations fonctionnelles et denombrement des hypercartes planaires pointees,ution is the generating function enumerating rooted planar hypermaps..Used together, these two relations allow us to obtain, without any hard formal calculus, a really simple system of parametric equations for the generating series enumerating rooted planar hypermaps by their number of vertices, fac非实体 发表于 2025-3-27 11:49:00
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Enumeration of certain young tableaux with bounded height,the number of such tableaux with entries between 1 and n, and having at most 2k rows, is the product .. The proof is mainly bijective, using configurations of non-crossing paths. At the end we need the qd-algorithm from Padé approximants theory.夹死提手势 发表于 2025-3-27 21:39:02
,Raising operators and Young’s rule,rive what is now sometimes referred to as Young‘s rule. In previous joint work we have made rigorous a portion of Young‘s argument by interpreting these operators as acting on Ferrers‘ diagrams. Other authors, somewhat later have presented similar interpretations (see and ). In the preseEuthyroid 发表于 2025-3-27 22:46:51
Chemins sous-diagonaux et tableaux de Young,) decreasing the x coordinate by 1, (3) increasing the y coordinate by 1, (4) decreasing the y coordinate by 1. The number of such paths of length ℓ, from (0,0) to any point whose y-coordinate is 0, lying below or touching the main diagonal, is C.C. for ℓ=2n and C.C. for ℓ=2n+1 where C. is the Catal蔑视 发表于 2025-3-28 04:19:31
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