{"created":"2021-03-01T06:16:13.302174+00:00","id":9453,"links":{},"metadata":{"_buckets":{"deposit":"f5b5aba8-4760-49e8-b2c3-615a00a7d796"},"_deposit":{"id":"9453","owners":[],"pid":{"revision_id":0,"type":"depid","value":"9453"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00009453","sets":["697:1102:1103"]},"author_link":["26957"],"item_1615768549627":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_9_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-05-24","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"16","bibliographicPageStart":"4","bibliographic_titles":[{"bibliographic_title":"鏡ヶ池の整数論セミナー報告集","bibliographic_titleLang":"ja"}]}]},"item_9_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"円分関数体は, 1930 年代後半に, 円分体の関数体での類似としてCarlitz によって発見された. 彼のアイデアは, 1970 年代に, Hayes [3] で詳しく考察され, 円分体の基本的な性質が円分関数体でも成り立つことが示された.円分体の類数公式として, Maillet 行列式やDemyanenko 行列式が知られているが,それらの円分関数体でのアナロジーとして, 1990 年代にRosen が既約多項式P に対して, P-円分関数体の類数のマイナスパートを行列式の形で表現した. 一般のケースは, Bae-Kang が論文[1] において類数のプラスパート, マイナスパート, 両方に行列式表示を与えている.筆者は, Shiomi [5] において, 円分関数体の合同ゼータ関数のプラスパートに付随する多項式P\\begin+\\M\\end(X) を整数係数多項式を成分にもつ行列式によって表現した. 多項式P\\begin+\\M\\end(X)のX = 1 での値がちょうど類数になることから, この結果は, Bae-Kangのプラスパートの行列式表示の拡張となることが分かる.セクション1,2 においては, 円分関数体の基本的な性質とその合同ゼータ関数について述べる. セクション3 では, 本講演の目的であるP\\begin+\\M\\end(X)の行列式公式について説明する. 最後に, 行列式表示の応用として, セクション4 では多項式P\\begin+\\M\\end(X)の1 次と2 次の係数に関する結果を述べる.","subitem_description_language":"ja","subitem_description_type":"Abstract"}]},"item_9_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/11234"}]},"item_9_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"名古屋大学 多元数理科学研究科","subitem_publisher_language":"ja"}]},"item_9_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_9_text_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"塩見, 大輔","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"26957","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":"2018-02-20"}],"displaytype":"detail","filename":"file-1.pdf","filesize":[{"value":"141.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"file-1.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/9453/files/file-1.pdf"},"version_id":"65db3607-430d-41e4-9e5d-f92b26708203"}]},"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":"円分関数体の合同ゼータ関数の行列式表示","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"円分関数体の合同ゼータ関数の行列式表示","subitem_title_language":"ja"}]},"item_type_id":"9","owner":"1","path":["1103"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2009-03-03"},"publish_date":"2009-03-03","publish_status":"0","recid":"9453","relation_version_is_last":true,"title":["円分関数体の合同ゼータ関数の行列式表示"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T05:18:02.714507+00:00"}