{"_buckets": {"deposit": "b67b06ae-3b5d-44d4-9227-42a9cf10d0e5"}, "_deposit": {"id": "17975", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "17975"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00017975"}, "item_10_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-01", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "206", "bibliographicPageStart": "185", "bibliographicVolumeNumber": "53", "bibliographic_titles": [{"bibliographic_title": "Glasgow Mathematical Journal"}]}]}, "item_10_description_4": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In our previous work, we established the theory of multi-variable Witten zeta-functions, which are called the zeta-functions of root systems. We have already considered the cases of types A2, A3, B2, B3 and C3. In this paper, we consider the case of G2-type. We define certain analogues of Bernoulli polynomials of G2-type and study the generating functions of them to determine the coefficients of Witten\u2019s volume formulas of G2-type. Next, we consider the meromorphic continuation of the zeta-function of G2-type and determine its possible singularities. Finally, by using our previous method, we give explicit functional relations for them which include Witten\u2019s volume formulas.", "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/10.1017/S0017089510000613"}, {"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/20064"}]}, "item_10_publisher_32": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Cambridge University Press"}]}, "item_10_select_15": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0017-0895", "subitem_source_identifier_type": "ISSN"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "KOMORI, YASUSHI"}], "nameIdentifiers": [{"nameIdentifier": "52446", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "MATSUMOTO, KOHJI"}], "nameIdentifiers": [{"nameIdentifier": "52447", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "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": "14.pdf", "filesize": [{"value": "188.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 188000.0, "url": {"label": "14.pdf", "url": "https://nagoya.repo.nii.ac.jp/record/17975/files/14.pdf"}, "version_id": "7aca15bd-6cb7-4071-b8d7-cf5ddd4e9b93"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV"}]}, "item_type_id": "10", "owner": "1", "path": ["697/698/699"], "permalink_uri": "http://hdl.handle.net/2237/20064", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2014-06-02"}, "publish_date": "2014-06-02", "publish_status": "0", "recid": "17975", "relation": {}, "relation_version_is_last": true, "title": ["ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV"], "weko_shared_id": null}