Date of Award

1-1-2011

Document Type

Campus Access Thesis

Department

Mathematics

First Advisor

Michael Filaseta

Abstract

This thesis presents an upper bound for the irrationality measure of &zeta(3), where &zeta denotes the Riemann zeta function. Results are presented in three steps: a linear combination of 1 and &zeta(3) depending on certain parameters is expressed as a triple integral, a description of the group of permutations of the parameters in this triple integral is presented, and the asymptotic behavior of this linear combination is analyzed to yield an approximation of the irrationality measure of &zeta(3).

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