{"created":"2023-05-15T12:16:59.888808+00:00","id":580,"links":{},"metadata":{"_buckets":{"deposit":"30617f79-b1f8-414f-af13-e691c5ff91de"},"_deposit":{"created_by":3,"id":"580","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"580"},"status":"published"},"_oai":{"id":"oai:tuis.repo.nii.ac.jp:00000580","sets":["1:4:164:165"]},"author_link":["2549","2550"],"control_number":"580","item_1701761924645":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"東京情報大学","subitem_publisher_language":"ja"}]},"item_6_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-09-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"71","bibliographicPageStart":"61","bibliographicVolumeNumber":"21","bibliographic_titles":[{"bibliographic_title":"東京情報大学研究論集","bibliographic_titleLang":"ja"}]}]},"item_6_description_10":{"attribute_name":"抄録(日)","attribute_value_mlt":[{"subitem_description":"本稿では，純粋数学および応用数学における方程式の理論を紹介する．まず，整数論に画期的な進展をもたらした岩澤理論とフェルマーの最終定理を通して，純粋数学における方程式の研究の大切さを振り返る．岩澤理論においてグリーンバーグ予想と呼ばれる未解決問題が知られているが，この予想が成り立つ実二次体のある無限族の存在を示した著者の最近の結果についても言及する．次に，シンプレクティック幾何学における埋め込み問題を通して，方程式の性質は様々な分野の問題の研究にも役立つことを述べる．楕円体E（ 1， a） からpolydisc P（ A＋ε， A－ε） へのシンプレクティック埋め込みに関する著者の最近の結果にも言及する．最後に，数理ファイナンスにおけるブラック･ショールズ方程式を中心に，微分方程式が社会現象や自然現象の分析に役立つことを述べる．","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_6_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"In this paper, we state theories of equations in pure and applied mathematics. First, we review Iwasawa Theory and Fermat’s Last Theorem, historical development in number theory. These tell us the importance of studying equations. In Iwasawa Theory, an open problem“ Greenberg’s Conjecture” is known. Recently, the author proved the existence of certain infinite families of real quadratic fields for which this conjecture holds true. We also state this. Secondly, we review embedding problem in symplectic geometry. The author showed some property of symplectic embeddings of 4-dimensional ellipsoids E（ 1, a） into polydiscs P（ A＋ε, A－ε） by using equations. We can use some properties of equations to investigate various problems. Thirdly, we focus on Black-Scholes equation in mathematical finance and explain that differential equations are very useful to analyze social and natural phenomenon.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_6_description_15":{"attribute_name":"表示順","attribute_value_mlt":[{"subitem_description":"6","subitem_description_type":"Other"}]},"item_6_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AA11155514","subitem_source_identifier_type":"NCID"}]},"item_6_text_6":{"attribute_name":"著者所属(日)","attribute_value_mlt":[{"subitem_text_language":"ja","subitem_text_value":"東京情報大学総合情報学部"}]},"item_6_text_7":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Faculty of Informatics,Tokyo University of Information Sciences"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"伊東, 杏希子","creatorNameLang":"ja"},{"creatorName":"イトウ, アキコ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Ito, Akiko","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":"2017-11-14"}],"displaytype":"detail","filename":"r21-1-m6.pdf","filesize":[{"value":"1.6 MB"}],"format":"application/pdf","license_note":"TUIS","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"r21-1-m6.pdf","url":"https://tuis.repo.nii.ac.jp/record/580/files/r21-1-m6.pdf"},"version_id":"da12932b-1019-4028-8c31-f337ecdb3d13"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"数学","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"整数論","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"岩澤理論","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"数理ファイナンス","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"微分方程式","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Mathematics","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Number Theory","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Iwasawa Theory","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Mathematical Finance","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Differential Equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"純粋数学および応用数学から見た方程式","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"純粋数学および応用数学から見た方程式","subitem_title_language":"ja"},{"subitem_title":"Theory of Equations: Pure Mathematics and Applied Mathematics","subitem_title_language":"en"}]},"item_type_id":"6","owner":"3","path":["165"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-11-14"},"publish_date":"2017-11-14","publish_status":"0","recid":"580","relation_version_is_last":true,"title":["純粋数学および応用数学から見た方程式"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-12-21T05:14:23.884436+00:00"}