{"id":{"repo_id":"carleton","oai_identifier":"oai:carleton.scholaris.ca:20.500.14718/39195"},"canonical_url":"https://search.dev.ndltd.org/etd/carleton/oai:carleton.scholaris.ca:20.500.14718/39195","repository":{"repo_id":"carleton","name":"Carleton University","base_url":"https://carleton.scholaris.ca/server/oai/request"},"display":{"title":"Representation by Quaternary Quadratic Forms whose Coefficients are 1, 2, 7 and 14","abstract":"We determine explicit formulae for the number of representations of a positive integer n by the quaternary quadratic forms a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2, where a_1, a_2, a_3, a_4 in {1,2,7,14}. We use a modular form approach.","abstract_html":"We determine explicit formulae for the number of representations of a positive integer n by the quaternary quadratic forms a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2, where a_1, a_2, a_3, a_4 in {1,2,7,14}. We use a modular form approach.","abstract_has_math":false,"creators":["Alanazi, Jamilah"],"institution":"Carleton University","degree_name":"Master of Science (M.Sc.)","degree_level":"Master's","degree_discipline":"Pure Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-24T01:34:38Z","subjects":[],"languages":["en"],"rights":["Copyright © 2015 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["10.22215/etd/2015-11018"],"render_values":[{"text":"10.22215/etd/2015-11018","href":"https://doi.org/10.22215/etd/2015-11018","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/20.500.14718/39195","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Alanazi, Jamilah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2025-04-08T19:37:20Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2025-04-08T19:37:20Z"]},{"key":"dc:date.issued","label":"Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["Carleton University"]},{"key":"dc:type","label":"Dc Type","values":["thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Pure Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Master's"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (M.Sc.)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright © 2015 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["10.22215/etd/2015-11018"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/20.500.14718/39195"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We determine explicit formulae for the number of representations of a positive integer n by the quaternary quadratic forms a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2, where a_1, a_2, a_3, a_4 in {1,2,7,14}. We use a modular form approach."]},{"key":"dc:title","label":"Title","values":["Representation by Quaternary Quadratic Forms whose Coefficients are 1, 2, 7 and 14"]}]}],"canonical_facts":{"dc:creator":["Alanazi, Jamilah"],"dc:date.accessioned":["2025-04-08T19:37:20Z"],"dc:date.available":["2025-04-08T19:37:20Z"],"dc:date.issued":["2015"],"dc:description.abstract":["We determine explicit formulae for the number of representations of a positive integer n by the quaternary quadratic forms a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2, where a_1, a_2, a_3, a_4 in {1,2,7,14}. We use a modular form approach."],"dc:identifier.doi":["10.22215/etd/2015-11018"],"dc:identifier.uri":["https://hdl.handle.net/20.500.14718/39195"],"dc:language.iso":["en"],"dc:publisher":["Carleton University"],"dc:rights":["Copyright © 2015 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner."],"dc:title":["Representation by Quaternary Quadratic Forms whose Coefficients are 1, 2, 7 and 14"],"dc:type":["thesis"],"thesis:degree_discipline":["Pure Mathematics"],"thesis:degree_level":["Master's"],"thesis:degree_name":["Master of Science (M.Sc.)"]},"updated_at":"2026-07-24T01:34:38Z"}