{"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"},"item_12_biblio_info_6":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-06-29","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_12_date_granted_64":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u5e74\u6708\u65e5","attribute_value_mlt":[{"subitem_dategranted":"2007-06-29"}]},"item_12_description_4":{"attribute_name":"\u6284\u9332","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 \u03bb-joint, a'-joint, (\u03bb, \u03bb)-joint, (\u03bb, a')-joint and (a', a')-joint t-universality of Lerch zeta functions and consider the relations among those. Next we show the existence of (\u03bb, \u03bb)- joint t-universality. We also show the existence of \u03bb-joint, a'-joint, (\u03bb,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 < \u03bbl \u2264 1 for 1 \u2264 l \u2264 m. Then we have the joint t-universality for Lerch zeta functions L(\u03bbl,al,s) for 1 \u2264 l \u2264 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_type":"Abstract"}]},"item_12_description_5":{"attribute_name":"\u5185\u5bb9\u8a18\u8ff0","attribute_value_mlt":[{"subitem_description":"\u540d\u53e4\u5c4b\u5927\u5b66\u535a\u58eb\u5b66\u4f4d\u8ad6\u6587 \u5b66\u4f4d\u306e\u7a2e\u985e\uff1b\u535a\u58eb\uff08\u6570\u7406\u5b66\uff09\uff08\u8ab2\u7a0b\uff09\u3000\u5b66\u4f4d\u6388\u4e0e\u5e74\u6708\u65e5\uff1b\u5e73\u621019\u5e746\u670829\u65e5","subitem_description_type":"Other"}]},"item_12_dissertation_number_65":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u756a\u53f7","attribute_value_mlt":[{"subitem_dissertationnumber":"13901\u7532\u7b2c7607\u53f7"}]},"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":"\u8457\u8005\u7248\u30d5\u30e9\u30b0","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_12_text_14":{"attribute_name":"\u30d5\u30a9\u30fc\u30de\u30c3\u30c8","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"item_12_text_63":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u5e74\u5ea6","attribute_value_mlt":[{"subitem_text_value":"2007"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nakamura, Takashi"}],"nameIdentifiers":[{"nameIdentifier":"18975","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"\u4e2d\u6751, \u9686"}],"nameIdentifiers":[{"nameIdentifier":"18976","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":"2018-02-19"}],"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","url":"https://nagoya.repo.nii.ac.jp/record/7042/files/ko-7607.pdf"},"version_id":"41203c81-c1d0-4315-93f6-91f6e2532846"}]},"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":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"Functional relations and universality for several types of multiple zeta functions","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"Functional relations and universality for several types of multiple zeta functions"}]},"item_type_id":"12","owner":"1","path":["697/765/766"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","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":3},"updated":"2021-03-01T12:29:04.482764+00:00"}