MacMahon's partition analysis. VI: A new reduction algorithm
type: Item
instance of: scholarly article
title: MacMahon's partition analysis. VI: A new reduction algorithm
zbMATH Open document ID: 1027.05005
author: George E. Andrews
author: Axel Riese
author: Peter Paule
published in: Annals of Combinatorics
publication date: 2002-06-16T00:00:00Z
review text: In [Eur. J. Comb. 22, 887-904 (2001; Zbl 0979.05008)], the authors introduced \textit{Omega}, a computer algebra package that implements operators used in MacMahon's method of partition analysis. The paper under review provides an algorithmic improvement to the Omega package. This improvement involves a more general partial fraction decomposition than that used in the original package, which makes an algorithm more efficient and avoids handling roots of unity, with slow computation. The paper also includes a brief introduction to partition analysis and several applications, including the computation of the generating function for the number of magic pentagrams.
reviewed by: Dennis Eichhorn
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 11P82
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 33F10
zbMATH DE Number: 1756473
zbMATH Keywords: partition analysis
zbMATH Keywords: magic squares
zbMATH Keywords: computer algebra
describes a project that uses: Omega
MaRDI profile type: Publication
full work available at URL: s00026-001-8011-y
OpenAlex ID: W1978565415
DOI: 10.1007/S00026-001-8011-Y
description: scientific article; zbMATH DE number 1756473