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Macmahon's Master Theorem And Infinite Dimensional Matrix Inversion

Abstract

dc:description.abstract

MacMahon's Master Theorem is an important result in the theory of algebraic combinatorics. It gives a precise connection between coefficients of certain power series defined by linear relations. We give a complete proof of MacMahon's Master Theorem based on MacMahon's original 1960 proof. We also study a specific infinite dimensional matrix inverse due to C. Krattenthaler.

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Wong, Vivian Lola
Contributors dc:contributor
  • Martin, Heath

Subjects

dc:subject × 4

Rights

Language dc:language
English

Identifiers

dc:identifier.*
Identifier
CFE0000032
OAI identifier oai:identifier
oai:stars.library.ucf.edu:etd-1121

Chain of custody

source
Harvested from
Central Florida
Base URL
stars.library.ucf.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Wong, Vivian Lola. Macmahon's Master Theorem And Infinite Dimensional Matrix Inversion. 2004. https://stars.library.ucf.edu/etd/122