{"created":"2023-06-20T16:37:36.446456+00:00","id":7379,"links":{},"metadata":{"_buckets":{"deposit":"7ca91cf8-1a72-4c38-a28d-6560c27c31cd"},"_deposit":{"created_by":3,"id":"7379","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7379"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00007379","sets":["14:923:1711:1712","21:3039:3241:3289"]},"author_link":["12664"],"item_2_alternative_title_3":{"attribute_name":"その他（別言語等）のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"<Original Papers>Continued fractions and Pell equations I"}]},"item_2_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2014-12-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"48","bibliographicPageEnd":"92","bibliographicPageStart":"83","bibliographic_titles":[{"bibliographic_title":"近畿大学工学部研究報告"},{"bibliographic_title":"Research reports of the Faculty of Engineering, Kinki University","bibliographic_titleLang":"en"}]}]},"item_2_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"[Abstract] A quadratic irrational is an irrational root of a quadratic polynomial with integer coefficients. Lagrange's theorem on continued fractions is as follows : any positive quadratic irrational has an eventually repeating continued fraction. A short proof of Lagrange's theorem is presented. Let D be a positive integer which is not a square, and p_i/q_i be the irreducible fraction of i-th convergent of √<D. We put P_i = p_i−1^ 2−Dq_i−1^2 and show that the sequence {|P_i|} is repeating and palindromic.","subitem_description_type":"Abstract"}]},"item_2_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学工学部研究報告"}]},"item_2_source_id_22":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0386491X","subitem_source_identifier_type":"ISSN"}]},"item_2_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"KIJIMA, Daiji"}]},"item_2_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学工学部教育推進センター"}]},"item_2_text_9":{"attribute_name":"著者所属(翻訳)","attribute_value_mlt":[{"subitem_text_value":"Center for the Advancement of Higher Educations, Faculty of Engineering, Kinki University"}]},"item_2_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"来嶋,  大二"},{"creatorName":"キジマ, ダイジ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-02-18"}],"displaytype":"detail","filename":"AN00063799-20141220-0083.pdf","filesize":[{"value":"517.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"AN00063799-20141220-0083.pdf","url":"https://kindai.repo.nii.ac.jp/record/7379/files/AN00063799-20141220-0083.pdf"},"version_id":"c7abb4ba-b590-4f50-bd73-cb7cee8ff656"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"continued fraction","subitem_subject_scheme":"Other"},{"subitem_subject":"Pell equation","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"<研究論文>連分数とペル方程式 I","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"<研究論文>連分数とペル方程式 I"}]},"item_type_id":"2","owner":"3","path":["1712","3289"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-02-02"},"publish_date":"2015-02-02","publish_status":"0","recid":"7379","relation_version_is_last":true,"title":["<研究論文>連分数とペル方程式 I"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-21T00:17:03.618114+00:00"}