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    COMBINATORICS
    2004
    96views more  COMBINATORICS 2004»
    A Combinatorial Proof of the Sum of q-Cubes
    14 years 6 months ago
    A Combinatorial Proof of the Sum of q-Cubes
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    We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
    Kristina C. Garrett, Kristen Hummel
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    JCT
    2006
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    A combinatorial proof of the Rogers-Ramanujan and Schur identities
    14 years 6 months ago
    A combinatorial proof of the Rogers-Ramanujan and Schur identities
    Download  www.math.ucla.edu
    We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direc...
    Cilanne Boulet, Igor Pak
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    JAL
    2006
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    An algorithmic sign-reversing involution for special rim-hook tableaux
    14 years 6 months ago
    An algorithmic sign-reversing involution for special rim-hook tableaux
    Download  www.mth.msu.edu
    Egecioglu and Remmel [2] gave an interpretation for the entries of the inverse Kostka matrix K-1 in terms of special rim-hook tableaux. They were able to use this interpretation to...
    Bruce E. Sagan, Jaejin Lee
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    EJC
    2008
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    On Postnikov's hook length formula for binary trees
    14 years 6 months ago
    On Postnikov's hook length formula for binary trees
    Download  www.math.ualberta.ca
    We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
    William Y. C. Chen, Laura L. M. Yang
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