{"created":"2023-06-20T14:20:56.347013+00:00","id":704,"links":{},"metadata":{"_buckets":{"deposit":"ca794a1e-19d7-46eb-b7ff-3c84700798a4"},"_deposit":{"created_by":3,"id":"704","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"704"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00000704","sets":["6:74:88"]},"author_link":["857"],"item_3_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003-03-01","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"11","bibliographicPageStart":"5","bibliographicVolumeNumber":"52","bibliographic_titles":[{"bibliographic_title":"愛知教育大学研究報告. 自然科学"}]}]},"item_3_description_27":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We observe that the Collatz process over the 2-adic integers Z_2 except {0,-1/3} is decided by a continuous mapping φ: Z_2＼{0,-1/3}→Z_2, which is a natural extension of the Collatz function φ defined on the all odd integers. In generally, the φ-orbit of x∈Z_2＼{0,-1/3} is decided by the corresponding sequence of 2-exponents. Every n-periodic points of φ over Z_2 is a rational number of odd type, which has been decided by the 2-exponent sequence {p_1,p_2,・・・,p_n,p_1,p_2,・・・}  of period n.","subitem_description_type":"Abstract"}]},"item_3_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"愛知教育大学"}]},"item_3_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN0000681X","subitem_source_identifier_type":"NCID"}]},"item_3_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0365-3722","subitem_source_identifier_type":"ISSN"}]},"item_3_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"愛知教育大学研究報告, 自然科学編. 2003, 52, p.5-11."}]},"item_3_text_26":{"attribute_name":"著者別名","attribute_value_mlt":[{"subitem_text_value":"ウラタ, トシオ"}]},"item_3_text_4":{"attribute_name":"著者(別言語)","attribute_value_mlt":[{"subitem_text_value":"浦田, 敏夫"}]},"item_3_version_type_14":{"attribute_name":"著者版フラグ","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":"Urata, Toshio"}],"nameIdentifiers":[{"nameIdentifier":"857","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":"2017-03-27"}],"displaytype":"detail","filename":"kenshi52511.pdf","filesize":[{"value":"78.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kenshi52511.pdf","url":"https://aue.repo.nii.ac.jp/record/704/files/kenshi52511.pdf"},"version_id":"5eb96487-010c-4c6d-96e4-7e40386e6abf"}]},"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 Collatz Problem over 2-adic Integers","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Collatz Problem over 2-adic Integers","subitem_title_language":"en"}]},"item_type_id":"3","owner":"3","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-12-04"},"publish_date":"2008-12-04","publish_status":"0","recid":"704","relation_version_is_last":true,"title":["The Collatz Problem over 2-adic Integers"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T16:51:16.718943+00:00"}