{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/90180"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/90180","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"On the convergence of continued fractions","abstract":"In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall.","abstract_html":"In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall.","abstract_has_math":false,"creators":["Glass, Thomas Franklin"],"institution":"Rice University","degree_name":"Master of Arts","degree_level":"Masters","degree_discipline":"Natural Sciences","degree_department":null,"school":null,"contributors":[],"advisors":["Leighton, Walter"],"committee_chairs":[],"committee_members":[],"year":1941,"date_issued":"1941","date_published":"1941","updated_at":"2026-07-24T04:10:37Z","subjects":[],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1911/90180","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Leighton, Walter"]},{"key":"dc:creator","label":"Author","values":["Glass, Thomas Franklin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2016-04-22T22:00:11Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2016-04-22T22:00:11Z"]},{"key":"dc:date.issued","label":"Date","values":["1941"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Natural Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Arts"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Rice University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1911/90180"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall."]},{"key":"dc:title","label":"Title","values":["On the convergence of continued fractions"]}]}],"canonical_facts":{"dc:contributor.advisor":["Leighton, Walter"],"dc:creator":["Glass, Thomas Franklin"],"dc:date.accessioned":["2016-04-22T22:00:11Z"],"dc:date.available":["2016-04-22T22:00:11Z"],"dc:date.issued":["1941"],"dc:description.abstract":["In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall."],"dc:identifier.uri":["https://hdl.handle.net/1911/90180"],"dc:language.iso":["eng"],"dc:rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"dc:title":["On the convergence of continued fractions"],"dc:type":["Thesis"],"thesis:degree_discipline":["Natural Sciences"],"thesis:degree_level":["Masters"],"thesis:degree_name":["Master of Arts"],"thesis:institution_name":["Rice University"]},"updated_at":"2026-07-24T04:10:37Z"}