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The Pell equations for D were systematically classified into several types with respect to the form of the polynomial relations (PR\u0027s) 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 \u221a\u003cD\u003e. Among the solutions of Pell equation with D below 100 only four D\u0027s were found to have no other D below ten thousand connected through a PR. All the PR\u0027s 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": "\u8457\u8005(\u30e8\u30df)", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "70904", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "\u30db\u30bd\u30e4, \u30cf\u30eb\u30aa"}]}, {"nameIdentifiers": [{"nameIdentifier": "70905", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "\u30a2\u30b5\u30e2\u30c8, \u30ce\u30ea\u30b3"}]}]}, "item_11_publisher_36": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66"}]}, "item_11_source_id_11": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "400", "subitem_subject_scheme": "NDC"}]}, "item_11_text_18": {"attribute_name": "\u5f62\u614b", "attribute_value_mlt": [{"subitem_text_value": "1189700 bytes"}]}, "item_11_text_47": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fb\u30ed\u30fc\u30ab\u30eb", "attribute_value_mlt": [{"subitem_text_value": "\u7d00\u8981\u8ad6\u6587"}]}, "item_11_text_48": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fbNII", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_11_text_49": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fbDCMI", "attribute_value_mlt": [{"subitem_text_value": "text"}]}, "item_11_text_50": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fb\u30ed\u30fc\u30ab\u30eb\u8868\u793a\u30b3\u30fc\u30c9", "attribute_value_mlt": [{"subitem_text_value": "03"}]}, "item_11_text_79": {"attribute_name": "\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Ochanomizu University"}, {"subitem_text_value": "Information Processing Center, Ochanomizu University"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "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": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-04-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KJ00004830808.pdf", "filesize": [{"value": "1.2 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1200000.0, "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Pell Equation. I. Systematic classification of the solutions of the Pell equation"}]}, "item_type_id": "11", "owner": "1", "path": ["347/359/683"], "permalink_uri": "http://hdl.handle.net/10083/2400", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2008-04-30"}, "publish_date": "2008-04-30", "publish_status": "0", "recid": "34630", "relation": {}, "relation_version_is_last": true, "title": ["Pell Equation. I. Systematic classification of the solutions of the Pell equation"], "weko_shared_id": null}