MacMahon's Partition Analysis: The Omega Package

George E. Andrews; Peter Paule; Axel Riese

doi:10.1006/eujc.2001.0527

MacMahon's Partition Analysis: The Omega Package

George E. Andrews, Peter Paule, Axel Riese

Mathematics

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

In his famous book 'Combinatory Analysis' MacMahon introduced Partition Analysis ('Omega Calculus') as a computational method for solving problems in connection with linear homogeneous diophantine inequalities and equations. The object of this paper is to show that partition analysis is ideally suited for being implemented in computer algebra. To this end we have developed the computer algebra package Omega. In addition to an introduction to basic facts of 'Omega Calculus', we present a number of applications that illustrate the usage of the package.

Original language	English (US)
Pages (from-to)	887-904
Number of pages	18
Journal	European Journal of Combinatorics
Volume	22
Issue number	7
DOIs	https://doi.org/10.1006/eujc.2001.0527
State	Published - Oct 2001

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1006/eujc.2001.0527

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author = "Andrews, {George E.} and Peter Paule and Axel Riese",

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MacMahon's Partition Analysis: The Omega Package

Abstract

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