{"created":"2024-10-28T05:56:01.229003+00:00","id":2004988,"links":{},"metadata":{"_buckets":{"deposit":"e790a453-79c3-4519-870b-7b404832ffe2"},"_deposit":{"created_by":7,"id":"2004988","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2004988"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02004988","sets":["1713853213384:1713853297799"]},"author_link":["1028"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"28","bibliographicPageStart":"5","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematics","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In the paper [11], the second author considered a conjecture on the fundamental units of certain family of real quadratic fields related to Fibonacci numbers. In this paper, we shall investigate this conjecture more precisely in section 3, using the constant terms of the abc conjecture. We also prove the conjecture in section 4 for some special cases, using the integer points of several elliptic curves.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"TOKUSHIMA UNIVERSITY","subitem_publisher_language":"en"}]},"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":"336212"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Khan, Nadia","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"片山, 真一","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"1028","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2018-06-21"}],"displaytype":"detail","filename":"jm_51_5.pdf","filesize":[{"value":"1020 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2004988/files/jm_51_5.pdf"},"version_id":"fa177430-c3ec-4668-801e-237401a4997a"}]},"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":"The abc Conjecture and Square Free Parts of Fibonacci Numbers","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The abc Conjecture and Square Free Parts of Fibonacci Numbers","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853297799"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-06-21"},"publish_date":"2018-06-21","publish_status":"0","recid":"2004988","relation_version_is_last":true,"title":["The abc Conjecture and Square Free Parts of Fibonacci Numbers"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2024-10-28T05:56:10.988654+00:00"}