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).
","abstract_html":"<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>","abstract_has_math":false,"creators":["Hendrick, Paul"],"institution":null,"degree_name":"M.A.","degree_level":"Campus Access Thesis","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Michael Filaseta"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-01T08:00:00Z","date_published":"2011-01-01T08:00:00Z","updated_at":"2026-07-24T04:37:21Z","subjects":["Mathematics","Physical Sciences and Mathematics"],"languages":[],"rights":["© 2011, Paul Hendrick"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/1600","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Michael Filaseta"]},{"key":"dc:creator","label":"Author","values":["Hendrick, Paul"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.A."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2011, Paul Hendrick"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/1600"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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).
"]},{"key":"dc:title","label":"Title","values":["A Bound for the Irrationality Measure of & zeta(3)"]}]}],"canonical_facts":{"dc:contributor":["Michael Filaseta"],"dc:creator":["Hendrick, Paul"],"dc:description.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).
"],"dc:identifier":["https://scholarcommons.sc.edu/etd/1600"],"dc:rights":["© 2011, Paul Hendrick"],"dc:subject":["Mathematics","Physical Sciences and Mathematics"],"dc:title":["A Bound for the Irrationality Measure of & zeta(3)"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Campus Access Thesis"],"thesis:degree_name":["M.A."]},"updated_at":"2026-07-24T04:37:21Z"}