A Fast Algorithm for MacMahon's Partition Analysis

9 years 2 months ago
A Fast Algorithm for MacMahon's Partition Analysis
This paper deals with evaluating constant terms of a special class of rational functions, the Elliott-rational functions. The constant term of such a function can be read off immediately from its partial fraction decomposition. We combine the theory of iterated Laurent series and a new algorithm for partial fraction decompositions to obtain a fast algorithm for MacMahon's Omega calculus, which (partially) avoids the "run-time explosion" problem when eliminating several variables. We discuss the efficiency of our algorithm by investigating problems studied by Andrews and his coauthors; our running time is much less than that of their Omega package.
Guoce Xin
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Authors Guoce Xin
Comments (0)