{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86803"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86803","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Sidon Sets and Beatty Sequences","abstract":"This thesis considers upper and lower bounds on the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.","abstract_html":"This thesis considers upper and lower bounds on the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.","abstract_has_math":false,"creators":["O'Bryant, Kevin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Stolarsky, Kenneth B."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T15:19:37Z","date_published":"2015-09-28T15:19:37Z","updated_at":"2026-07-22T22:26:28Z","subjects":["Mathematics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3070398"],"render_values":[{"text":"(MiAaPQ)AAI3070398","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/86803","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stolarsky, Kenneth B."]},{"key":"dc:creator","label":"Author","values":["O'Bryant, Kevin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T15:19:37Z","10000-01-01","2002"]},{"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/2142/86803","(MiAaPQ)AAI3070398"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis considers upper and lower bounds on the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.","Made available in DSpace on 2015-09-28T15:19:37Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3070398.pdf: 6595954 bytes, checksum: e3f615e219bf237ad9718c7064782b7c (MD5) Previous issue date: 2002","Embargo set by: Seth Robbins for item 88084 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","165 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002."]},{"key":"dc:title","label":"Title","values":["Sidon Sets and Beatty Sequences"]}]}],"canonical_facts":{"dc:contributor":["Stolarsky, Kenneth B."],"dc:creator":["O'Bryant, Kevin"],"dc:date":["2015-09-28T15:19:37Z","10000-01-01","2002"],"dc:description":["This thesis considers upper and lower bounds on the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.","Made available in DSpace on 2015-09-28T15:19:37Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3070398.pdf: 6595954 bytes, checksum: e3f615e219bf237ad9718c7064782b7c (MD5) Previous issue date: 2002","Embargo set by: Seth Robbins for item 88084 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","165 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002."],"dc:identifier":["http://hdl.handle.net/2142/86803","(MiAaPQ)AAI3070398"],"dc:language":["eng"],"dc:subject":["Mathematics"],"dc:title":["Sidon Sets and Beatty Sequences"],"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"}