{"_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", "download_preview_message": "", "file_order": 0, "filename": "preprint133.pdf", "filesize": [{"value": "502.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 502800.0, "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"], "permalink_uri": "https://chuo-u.repo.nii.ac.jp/records/16856", "pubdate": {"attribute_name": "公開日", "attribute_value": "2022-11-24"}, "publish_date": "2022-11-24", "publish_status": "0", "recid": "16856", "relation": {}, "relation_version_is_last": true, "title": ["Integer values of generating functions for Lucas sequences"], "weko_shared_id": -1}