{"_buckets": {"deposit": "0c871904-af23-4fc4-a539-16104b5f9a4e"}, "_deposit": {"id": "18292", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "18292"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00018292"}, "item_21_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2006-12", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "140", "bibliographicPageStart": "115", "bibliographic_titles": [{"bibliographic_title": "The Conference on L-Functions"}]}]}, "item_21_description_4": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In this paper, we introduce multi-variable zeta-functions of roots, and prove the analytic continuation of them. For the root systems associated with Lie algebras, these functions are also called Witten zeta-functions associated with Lie algebras which can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case of type Ar, we have already studied some analytic properties in our previous paper. In the present paper, we prove certain functional relations among these functions of types Ar (r = 1; 2; 3) which include what is called Witten\u2019s volume formulas. Moreover we mention some structural background of the theory of functional relations in terms of Weyl groups.", "subitem_description_type": "Abstract"}]}, "item_21_description_5": {"attribute_name": "\u5185\u5bb9\u8a18\u8ff0", "attribute_value_mlt": [{"subitem_description": "The Conference on L-Functions. Fukuoka, Japan, 18 \u2013 23 February 2006", "subitem_description_type": "Other"}]}, "item_21_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "URI", "subitem_identifier_uri": "http://www.worldscientific.com/worldscibooks/10.1142/6363"}, {"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/20355"}]}, "item_21_publisher_32": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "World Scientific Publishing"}]}, "item_21_relation_8": {"attribute_name": "ISBN", "attribute_value_mlt": [{"subitem_relation_type": "isIdenticalTo", "subitem_relation_type_id": {"subitem_relation_type_id_text": "978-981-270-504-4", "subitem_relation_type_select": "ISBN"}}]}, "item_21_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "Zeta-functions of Root Systems, Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura, in The Conference on L-Functions edited by Lin Weng, Masanobu Kaneko, Copyright @2007. with permission from World Scientific Publishing Co. Pte. 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