{"created":"2024-10-23T10:14:58.760894+00:00","id":2002173,"links":{},"metadata":{"_buckets":{"deposit":"88341956-0f37-4c39-ab46-117a62d99a27"},"_deposit":{"created_by":7,"id":"2002173","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2002173"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02002173","sets":["1713829974766:1713854679917:1716360602628","1713853213384:1713853297799"]},"author_link":["1028"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"13","bibliographicPageStart":"1","bibliographicVolumeNumber":"47","bibliographic_titles":[{"bibliographic_title":"Journal of mathematics, the University of Tokushima","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In 1963, F. J. M. Barning discovered a ternary tree of primitive Pythagorean triples, where each triple is transformed to other three triples by three distinct 3 × 3 unimodular matrices. This fact has been rediscovered many times. In this paper, we shall give an elementary explanation of this fact using classical Euclidean parametrization of primitive Pythagorean triples and modified ternary Farey trees.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"13467387","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA11595324","subitem_source_identifier_type":"NCID"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"274232"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"片山, 真一","creatorNameLang":"ja"},{"creatorName":"カタヤマ, シンイチ","creatorNameLang":"ja-Kana"},{"creatorName":"Katayama, Shin-ichi","creatorNameLang":"en"}],"familyNames":[{"familyName":"片山","familyNameLang":"ja"},{"familyName":"カタヤマ","familyNameLang":"ja-Kana"},{"familyName":"Katayama","familyNameLang":"en"}],"givenNames":[{"givenName":"真一","givenNameLang":"ja"},{"givenName":"シンイチ","givenNameLang":"ja-Kana"},{"givenName":"Shin-ichi","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"1028","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60466/profile-ja.html","nameIdentifierScheme":"徳島大学 教育研究者総覧","nameIdentifierURI":"http://pub2.db.tokushima-u.ac.jp/ERD/person/60466/profile-ja.html"},{"nameIdentifier":"70194777","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?qm=70194777"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2013-12-11"}],"displaytype":"detail","filename":"LID201312112002.pdf","filesize":[{"value":"81.2 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2002173/files/LID201312112002.pdf"},"version_id":"403c97f4-8b4c-4ea4-9f21-300245942940"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Modified Farey Trees and Pythagorean Triples","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Modified Farey Trees and Pythagorean Triples","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853297799","1716360602628"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2013-12-11"},"publish_date":"2013-12-11","publish_status":"0","recid":"2002173","relation_version_is_last":true,"title":["Modified Farey Trees and Pythagorean Triples"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2025-04-28T08:02:24.689835+00:00"}