{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86977"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86977","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Rogers -Ramanujan Continued Fraction and a Certain Quotient of ETA Functions Found in Ramanujan's Lost Notebook","abstract":"Finally, a new proof of Winquist's identity which is essential for an elementary proof for Ramanujan's famous partition identity modulo 11, p(11n + 6) &equiv; 0 (mod 11) is provided in the last part of the thesis.","abstract_html":"Finally, a new proof of Winquist&#x27;s identity which is essential for an elementary proof for Ramanujan&#x27;s famous partition identity modulo 11, p(11n + 6) &amp;equiv; 0 (mod 11) is provided in the last part of the thesis.","abstract_has_math":false,"creators":["Kang, Soon-Yi"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Berndt, Bruce C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T15:20:26Z","date_published":"2015-09-28T15:20:26Z","updated_at":"2026-07-22T22:26:28Z","subjects":["Mathematics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9944904"],"render_values":[{"text":"(MiAaPQ)AAI9944904","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/86977","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Berndt, Bruce C."]},{"key":"dc:creator","label":"Author","values":["Kang, Soon-Yi"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T15:20:26Z","10000-01-01","1999"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/86977","(MiAaPQ)AAI9944904"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Finally, a new proof of Winquist's identity which is essential for an elementary proof for Ramanujan's famous partition identity modulo 11, p(11n + 6) &equiv; 0 (mod 11) is provided in the last part of the thesis.","Made available in DSpace on 2015-09-28T15:20:26Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9944904.pdf: 3947863 bytes, checksum: d5e6d2e39a6d99a8f69ea14ff23fe042 (MD5) Previous issue date: 1999","Embargo set by: Seth Robbins for item 88258 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","115 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999."]},{"key":"dc:title","label":"Title","values":["The Rogers -Ramanujan Continued Fraction and a Certain Quotient of ETA Functions Found in Ramanujan's Lost Notebook"]}]}],"canonical_facts":{"dc:contributor":["Berndt, Bruce C."],"dc:creator":["Kang, Soon-Yi"],"dc:date":["2015-09-28T15:20:26Z","10000-01-01","1999"],"dc:description":["Finally, a new proof of Winquist's identity which is essential for an elementary proof for Ramanujan's famous partition identity modulo 11, p(11n + 6) &equiv; 0 (mod 11) is provided in the last part of the thesis.","Made available in DSpace on 2015-09-28T15:20:26Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9944904.pdf: 3947863 bytes, checksum: d5e6d2e39a6d99a8f69ea14ff23fe042 (MD5) Previous issue date: 1999","Embargo set by: Seth Robbins for item 88258 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","115 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999."],"dc:identifier":["http://hdl.handle.net/2142/86977","(MiAaPQ)AAI9944904"],"dc:language":["eng"],"dc:subject":["Mathematics"],"dc:title":["The Rogers -Ramanujan Continued Fraction and a Certain Quotient of ETA Functions Found in Ramanujan's Lost Notebook"],"dc:type":["text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:28Z"}