Progress on MacMahon¡¯s Partition Analysis

 

 

My first Maple package ELL.mpl is associated to my paper

A fast algorithm for MacMahon's partition analysis, Electron.J. Combin., 11 (2004), R58. (electronic). arXiv: math.CO/0408377. (20 pages)

Package name: ELL.mpl

Version: written in Maple 9.0 (should work for earlier version, but definitely not for Maple 10)

Main procedures: E_Oeq(Q,vx,va)

                 E_Oge(Q,vx,va)


The updated version: Ell2.mpl with minor modification on Aug. 29, 2007

New procedures: E_OeqS(Q,vxa,va), E_OeqW(Q,vxa,va) (there should be no bug for these two procedures)

                E_OgeS(Q,vxa,va),  E_OgeW(Q,vxa,va) (you are welcome to report bug for these two procedures)  

Here is a draft manual for the Ell2 package. Related talks I gave:

  1. Partial fraction algorithm for MacMahon¡¯s partition analysis, Combinatorial Seminar @ UCSD, August 16, 2007
  2. MacMahon's partition analysis, Combinatorics Seminar @ MIT, October 6, 2004.