{"_buckets": {"deposit": "d3b28d84-983e-4d20-b1bd-d4e7d0e7ea8d"}, "_deposit": {"id": "11969", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11969"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00011969", "sets": ["699"]}, "author_link": ["37918", "37919", "37920"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2008", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "5", "bibliographicPageEnd": "62", "bibliographicPageStart": "57", "bibliographicVolumeNumber": "84", "bibliographic_titles": [{"bibliographic_title": "Proceedings of the Japan Academy, Ser. A Mathematical Sciences"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "This article is essentially an announcement of the papers [7,8,9,10] of the authors, though some of the examples are not included in those papers. We consider what is called zeta and L-functions of root systems which can be regarded as a multi-variable version of Witten multiple zeta and L-functions. Furthermore, corresponding to these functions, Bernoulli polynomials of root systems are defined. First we state several analytic properties, such as analytic continuation and location of singularities of these functions. Secondly we generalize the Bernoulli polynomials and give some expressions of values of zeta and L-functions of root systems in terms of these polynomials. Finally we give some functional relations among them by our previous method. These relations include the known formulas for their special values formulated by Zagier based on Witten’s work.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/13843"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Japan Academy", "subitem_publisher_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_text_14": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "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": "Komori, Yasushi", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "37918", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Matsumoto, Kohji", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "37919", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Tsumura, Hirofumi", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "37920", "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", "download_preview_message": "", "file_order": 0, "filename": "proc_japan_acad_84.pdf", "filesize": [{"value": "131.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 131900.0, "url": {"label": "proc_japan_acad_84.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/11969/files/proc_japan_acad_84.pdf"}, "version_id": "9ce8b7ee-c918-4aaf-8fdc-8ebf11b9acd7"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Multiple zeta-function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Witten zeta-function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "root systems", "subitem_subject_scheme": "Other"}, {"subitem_subject": "simple Lie", "subitem_subject_scheme": "Other"}, {"subitem_subject": "algerasanalytic continuation", "subitem_subject_scheme": "Other"}, {"subitem_subject": "functional relation", "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": "Zeta and L-functions and Bernoulli polynomials of root systems", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Zeta and L-functions and Bernoulli polynomials of root systems", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/13843", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-07-09"}, "publish_date": "2010-07-09", "publish_status": "0", "recid": "11969", "relation": {}, "relation_version_is_last": true, "title": ["Zeta and L-functions and Bernoulli polynomials of root systems"], "weko_shared_id": -1}