MacMahon's conjecture on symmetric plane partitions

G E Andrews

doi:10.1073/pnas.74.2.426

MacMahon's conjecture on symmetric plane partitions

Proc Natl Acad Sci U S A. 1977 Feb;74(2):426-9. doi: 10.1073/pnas.74.2.426.

Author

G E Andrews¹

Affiliation

¹ Mathematics Research Center, 610 Walnut Street, Madison, Wisconsin 53706.

Abstract

In 1898, P. A. MacMahon conjectured that the generating function for symmetric plane partitions with at most s rows and each part at most j has an especially simple closed form. An outline of the proof of this conjecture is given here.