Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G.E. Andrews, Plane partitions (I): The MacMahon conjecture, Advances in Math., (to appear).
G.E. Andrews, Plane partitions (II): the equivalence of the Bender-Knuth and MacMahon conjectures, (to appear).
E.A. Bender and D.E. Knuth, Enumeration of plane partitions, J. Combinatorial Th., 13(1972), 40–54.
J. Dougall, On Vandermonde's theorem and some more general expansions, Proc. Edinburgh Math. Soc., 25(1907), 114–132.
G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge, 1940 (Reprinted: Chelsea, New York, 1959).
P.A. MacMahon, Partitions of numbers whose graphs possess symmetry, Trans. Cambridge Phil. Soc., 17(1898–99), 149–170.
P.A. MacMahon, Combinatory Analysis, Vol. 2, Cambridge University Press, Cambridge, 1916 (Reprinted: Chelsea, New York, 1960).
L.J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966.
R.P. Stanley, Theory and applications of plane partitions II, Studies in Appl. Math., 50(1971), 259–279.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1977 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0090024
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08143-2
Online ISBN: 978-3-540-37385-8
eBook Packages: Springer Book Archive