Keywords

Infinite dimensional matrix, Macmahon's master theorem

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.

Notes

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Graduation Date

2004

Semester

Spring

Advisor

Martin, Heath

Degree

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Mathematics

Degree Program

Mathematics

Format

application/pdf

Identifier

CFE0000032

URL

http://purl.fcla.edu/fcla/etd/CFE0000032

Language

English

Release Date

May 2004

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Subjects

Arts and Sciences -- Dissertations, Academic; Dissertations, Academic -- Arts and Sciences

Restricted to the UCF community until May 2004; it will then be open access.

Included in

Mathematics Commons

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