A Bound for the Irrationality Measure of zeta(3)

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).