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Implications of the Macmahon conjecture

  • Partitions Et Algorithmes Combinatoires
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 579))

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References

  1. G.E. Andrews, Plane partitions (I): The MacMahon conjecture, Advances in Math., (to appear).

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  2. G.E. Andrews, Plane partitions (II): the equivalence of the Bender-Knuth and MacMahon conjectures, (to appear).

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  3. E.A. Bender and D.E. Knuth, Enumeration of plane partitions, J. Combinatorial Th., 13(1972), 40–54.

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  5. G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge, 1940 (Reprinted: Chelsea, New York, 1959).

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  6. P.A. MacMahon, Partitions of numbers whose graphs possess symmetry, Trans. Cambridge Phil. Soc., 17(1898–99), 149–170.

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  7. P.A. MacMahon, Combinatory Analysis, Vol. 2, Cambridge University Press, Cambridge, 1916 (Reprinted: Chelsea, New York, 1960).

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  8. L.J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966.

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Dominique Foata

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© 1977 Springer-Verlag

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Andrews, G.E. (1977). Implications of the Macmahon conjecture. In: Foata, D. (eds) Combinatoire et Représentation du Groupe Symétrique. Lecture Notes in Mathematics, vol 579. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090024

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  • DOI: https://doi.org/10.1007/BFb0090024

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08143-2

  • Online ISBN: 978-3-540-37385-8

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