{"created":"2021-03-01T06:25:21.428528+00:00","id":17981,"links":{},"metadata":{"_buckets":{"deposit":"e82ae82b-b220-4f3f-933c-53fbba0ce66e"},"_deposit":{"id":"17981","owners":[],"pid":{"revision_id":0,"type":"depid","value":"17981"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00017981","sets":["697:698:699"]},"author_link":["52459","52460"],"control_number":"17981","item_10_alternative_title_19":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Sur les fonctions zeta multiples de Witten associées aux algèbres de Lie semi-simples","subitem_alternative_title_language":"fr"}]},"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicPageEnd":"1504","bibliographicPageStart":"1457","bibliographicVolumeNumber":"56","bibliographic_titles":[{"bibliographic_title":"Annales de l'institut Fourier"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We define Witten multiple zeta-functions associated with semisimple Lie algebras sl(n), (n=2,3,...) of several complex variables, and prove the analytic continuation of them. These can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case sl(4), we determine the singularities of this function. Furthermore we prove certain functional relations among this function, the Mordell-Tornheim double zeta-functions and the Riemann zeta-function. Using these relations, we prove new and non-trivial evaluation formulas for special values of this function at positive integers.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"DOI","subitem_identifier_uri":"http://dx.doi.org/10.5802/aif.2218"},{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/20336"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Annales de L'Institut Fourier","subitem_publisher_language":"fr"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.5802/aif.2218","subitem_relation_type_select":"DOI"}}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_10_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1777-5310","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"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_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":"Matsumoto, Kohji","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"52459","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Tsumura, Hirofumi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"52460","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":"2018-02-21"}],"displaytype":"detail","filename":"40.pdf","filesize":[{"value":"565.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"40.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/17981/files/40.pdf"},"version_id":"80a492a9-94da-44ec-89bb-99aae662a666"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Witten multiple zeta-functions","subitem_subject_scheme":"Other"},{"subitem_subject":"Mordell-Tornheim zeta-functions","subitem_subject_scheme":"Other"},{"subitem_subject":"Riemann zeta-function","subitem_subject_scheme":"Other"},{"subitem_subject":"analytic continuation","subitem_subject_scheme":"Other"},{"subitem_subject":"semisimple Lie algebra","subitem_subject_scheme":"Other"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"On Witten multiple zeta-functions associated with semisimple Lie algebras I","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Witten multiple zeta-functions associated with semisimple Lie algebras I","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2014-06-17"},"publish_date":"2014-06-17","publish_status":"0","recid":"17981","relation_version_is_last":true,"title":["On Witten multiple zeta-functions associated with semisimple Lie algebras I"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:43:15.494333+00:00"}