A Bound for the Irrationality Measure of & zeta(3)

<p>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).</p>

Name thesis:degree_name

M.A.

Level thesis:degree_level

Campus Access Thesis

Discipline thesis:degree_discipline

Mathematics

Year

2011

Author dc:creator

• Hendrick, Paul

Contributors dc:contributor

• Michael Filaseta

• Mathematics
• Physical Sciences and Mathematics

Statement dc:rights

• © 2011, Paul Hendrick

Repository record dc:identifier

https://scholarcommons.sc.edu/etd/1600

OAI identifier oai:identifier

oai:scholarcommons.sc.edu:etd-2601