{"_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": ["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\u0027institut 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\u0027Institut 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", "download_preview_message": "", "file_order": 0, "filename": "40.pdf", "filesize": [{"value": "565.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 565900.0, "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"], "permalink_uri": "http://hdl.handle.net/2237/20336", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2014-06-17"}, "publish_date": "2014-06-17", "publish_status": "0", "recid": "17981", "relation": {}, "relation_version_is_last": true, "title": ["On Witten multiple zeta-functions associated with semisimple Lie algebras I"], "weko_shared_id": -1}