{"created":"2023-06-19T09:46:48.680251+00:00","id":1267,"links":{},"metadata":{"_buckets":{"deposit":"531c7c55-a6a3-41cf-9d78-d23482d7aed4"},"_deposit":{"created_by":3,"id":"1267","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"1267"},"status":"published"},"_oai":{"id":"oai:keiai.repo.nii.ac.jp:00001267","sets":["1:17:116:136"]},"author_link":["6376","6377"],"item_3_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1999-02-26","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"21","bibliographicPageEnd":"58","bibliographicPageStart":"53","bibliographic_titles":[{"bibliographic_title":"千葉敬愛短期大学紀要"},{"bibliographic_title":"BULLETIN OF CHIBA KEIAI JUNIOR COLLEGE","bibliographic_titleLang":"en"}]}]},"item_3_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"This paper is devoted to generalization of narcissistic number. Let n be a natural number and n = ΣlO^iq_i be the decimal representation, and p>1 be a natural number. Then, n is called a generalized narcissistic number for p if Σq^p_i = n, and p is called as index of narcissistic number. We prove the following theorems : Theorem 1. Narcissistic numbers with index 3 are 1,153,370,371 and 407. Theorem 2. Number of generalized narcissistic numbers with index p are finite. In the proof of Theorem 2,we have the following inequality : (n-log (n+1))/log 9 <n , which concerns an upper bound of index p.","subitem_description_type":"Other"}]},"item_3_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00364106","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"岡本, 茂"},{"creatorName":"オカモト, シゲル","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"OKAMOTO, Shigeru","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-08-18"}],"displaytype":"detail","filename":"KJ00004307591.pdf","filesize":[{"value":"258.6 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"KJ00004307591.pdf","url":"https://keiai.repo.nii.ac.jp/record/1267/files/KJ00004307591.pdf"},"version_id":"ac0f3f58-1ca5-4f17-a68e-6348566cbf07"}]},"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":"ナルシシスト数について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ナルシシスト数について"},{"subitem_title":"On the Narcissistic Number","subitem_title_language":"en"}]},"item_type_id":"3","owner":"3","path":["136"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-08-18"},"publish_date":"2016-08-18","publish_status":"0","recid":"1267","relation_version_is_last":true,"title":["ナルシシスト数について"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-19T10:19:08.524832+00:00"}