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).
Rights
© 2011, Paul Hendrick
Recommended Citation
Hendrick, P.(2011). A Bound for the Irrationality Measure of & zeta(3). (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/1600
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