{"created":"2023-05-15T13:53:34.060476+00:00","id":16856,"links":{},"metadata":{"_buckets":{"deposit":"9df0e709-8d6b-43a7-a2d3-c6fb9d744be9"},"_deposit":{"created_by":1,"id":"16856","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"16856"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00016856","sets":["88"]},"author_link":["23330"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-11-22","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"133","bibliographic_titles":[{"bibliographic_title":"数学科プレプリントシリーズ"},{"bibliographic_title":"PREPRINT SERIES","bibliographic_titleLang":"en"}]}]},"item_2_description_20":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"It is known that the generating function of the Fibonacci sequence, F(t) =\\sum_{k=0}^{\\infty} F_k t^k = t/(1 - t - t^2), attains an integer value if and only if t = F_k/F_{k+1} for some k \\in Z. In this article, we generalize this result for the Lucas sequences and the companion Lucas sequences associated to (P, ±1), clarifying a role of the arithmetic of real quadratic number  elds.","subitem_description_type":"Abstract"}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学部数学科"}]},"item_2_rights_16":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]},"item_2_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Noriyuki, Suwa","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23330","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-11-24"}],"displaytype":"detail","filename":"preprint133.pdf","filesize":[{"value":"502.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"preprint133.pdf","url":"https://chuo-u.repo.nii.ac.jp/record/16856/files/preprint133.pdf"},"version_id":"4a36ceab-8ae8-4d6a-9762-05b782733af1"}]},"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":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"Integer values of generating functions for Lucas sequences","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Integer values of generating functions for Lucas sequences","subitem_title_language":"en"}]},"item_type_id":"2","owner":"1","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-11-24"},"publish_date":"2022-11-24","publish_status":"0","recid":"16856","relation_version_is_last":true,"title":["Integer values of generating functions for Lucas sequences"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T15:12:32.721318+00:00"}