{"created":"2021-03-01T06:39:55.875084+00:00","id":34630,"links":{},"metadata":{"_buckets":{"deposit":"ef2cddbc-bcae-4b2e-83c4-a9d3d2f7a61a"},"_deposit":{"id":"34630","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34630"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034630","sets":["347:359:683"]},"item_11_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"83","bibliographicPageStart":"57","bibliographicVolumeNumber":"57","bibliographic_titles":[{"bibliographic_title":"お茶の水女子大學自然科學報告"}]}]},"item_11_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_11_description_46":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_11_description_7":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pell equations for D were systematically classified into several types with respect to the form of the polynomial relations (PR's) among (D, x_1, y_1). The key strategies for this analysis are the value of y_1 and form of the continued fraction expansion of √<D>. Among the solutions of Pell equation with D below 100 only four D's were found to have no other D below ten thousand connected through a PR. All the PR's were shown to be derived from a pair of the \"master equations\". The results obtained in this paper show an effectiveness of the proposed strategies for the systematic analysis of the chaotic behavior of the solutions of Pell equation.","subitem_description_type":"Other"}]},"item_11_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"70904","nameIdentifierScheme":"WEKO"}],"names":[{"name":"ホソヤ, ハルオ"}]},{"nameIdentifiers":[{"nameIdentifier":"70905","nameIdentifierScheme":"WEKO"}],"names":[{"name":"アサモト, ノリコ"}]}]},"item_11_publisher_36":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"お茶の水女子大学"}]},"item_11_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033958","subitem_source_identifier_type":"NCID"}]},"item_11_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00298190","subitem_source_identifier_type":"ISSN"}]},"item_11_subject_20":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"400","subitem_subject_scheme":"NDC"}]},"item_11_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"1189700 bytes"}]},"item_11_text_47":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_11_text_48":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_11_text_49":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_11_text_50":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"03"}]},"item_11_text_79":{"attribute_name":"所属","attribute_value_mlt":[{"subitem_text_value":"Ochanomizu University"},{"subitem_text_value":"Information Processing Center, Ochanomizu University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hosoya, Haruo"}],"nameIdentifiers":[{"nameIdentifier":"70902","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Asamoto, Noriko"}],"nameIdentifiers":[{"nameIdentifier":"70903","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":"2018-04-19"}],"displaytype":"detail","filename":"KJ00004830808.pdf","filesize":[{"value":"1.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"KJ00004830808.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34630/files/KJ00004830808.pdf"},"version_id":"b4924904-027d-429d-b393-24035b38c518"}]},"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":"Pell Equation. I. Systematic classification of the solutions of the Pell equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Pell Equation. I. Systematic classification of the solutions of the Pell equation"}]},"item_type_id":"11","owner":"1","path":["683"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-04-30"},"publish_date":"2008-04-30","publish_status":"0","recid":"34630","relation_version_is_last":true,"title":["Pell Equation. I. Systematic classification of the solutions of the Pell equation"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:58.693303+00:00"}