Macmahon’s Partition Analysis Xi: Hexagonal Plane Partitions

نویسندگان

  • GEORGE E. ANDREWS
  • AXEL RIESE
چکیده

In this paper we continue the partition explorations made possible by Omega, the computer algebra implementation of MacMahon’s Partition Analysis. The focus of our work has been partitions associated with directed graphs. The graphs considered here are made up of chains of hexagons, and the related generating functions are infinite products. Somewhat unexpectedly, while the generating functions are infinite products, they are most emphatically not modular forms.

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تاریخ انتشار 2004