{"created":"2021-03-01T06:13:40.798619+00:00","id":7042,"links":{},"metadata":{"_buckets":{"deposit":"56e71f0c-de9f-415c-88de-56ed7dd9588b"},"_deposit":{"id":"7042","owners":[],"pid":{"revision_id":0,"type":"depid","value":"7042"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00007042","sets":["697:765:766"]},"author_link":["18975","18976"],"item_12_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-06-29","bibliographicIssueDateType":"Issued"}}]},"item_12_date_granted_64":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2007-06-29"}]},"item_12_degree_grantor_62":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"名古屋大学"},{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"Nagoya University"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"13901","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_12_degree_name_61":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(数理学)","subitem_degreename_language":"ja"}]},"item_12_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Firstly, we prove a functional relation for the Tornheim double zeta function. Using this functional relation, we obtain simple proofs of some known formulas for special values of Tornheim and Euler-Zagier double zeta functions. Secondly, we obtain functional relations for Witten zeta functions by using a double L-values relation. By these functional relations, we obtain new proofs of known results on the Tornheim double zeta function, the Euler-Zagier double zeta function, their alternating and character analogues. Thirdly, we define λ-joint, a'-joint, (λ, λ)-joint, (λ, a')-joint and (a', a')-joint t-universality of Lerch zeta functions and consider the relations among those. Next we show the existence of (λ, λ)- joint t-universality. We also show the existence of λ-joint, a'-joint, (λ,a')-joint and (a',a')-joint t-universality by using inversion formulas. Fourthly, we show the following theorems. Suppose 0 < al < 1 are algebraically independent numbers and 0 < λl ≤ 1 for 1 ≤ l ≤ m. Then we have the joint t-universality for Lerch zeta functions L(λl,al,s) for 1 ≤ l ≤ m. Next we generalize Lerch zeta functions, and obtain the joint t-universality for them. In addition, we show examples of the non-existence of the joint t-universality for Lerch zeta functions and generalized Lerch zeta functions.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_12_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"名古屋大学博士学位論文 学位の種類；博士（数理学）（課程）　学位授与年月日；平成19年6月29日","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_12_dissertation_number_65":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第7607号"}]},"item_12_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/8718"}]},"item_12_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_12_text_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"item_12_text_63":{"attribute_name":"学位授与年度","attribute_value_mlt":[{"subitem_text_value":"2007"}]},"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":"Nakamura, Takashi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"18975","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"中村, 隆","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"18976","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":"2018-02-19"}],"displaytype":"detail","filename":"ko-7607.pdf","filesize":[{"value":"382.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ko-7607.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/7042/files/ko-7607.pdf"},"version_id":"41203c81-c1d0-4315-93f6-91f6e2532846"}]},"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":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_title":"Functional relations and universality for several types of multiple zeta functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Functional relations and universality for several types of multiple zeta functions","subitem_title_language":"en"}]},"item_type_id":"12","owner":"1","path":["766"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-09-03"},"publish_date":"2007-09-03","publish_status":"0","recid":"7042","relation_version_is_last":true,"title":["Functional relations and universality for several types of multiple zeta functions"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T05:03:33.395829+00:00"}