{"created":"2021-03-01T06:25:43.546390+00:00","id":18325,"links":{},"metadata":{"_buckets":{"deposit":"75471732-75e7-4e1b-a269-ab71f92b9356"},"_deposit":{"id":"18325","owners":[],"pid":{"revision_id":0,"type":"depid","value":"18325"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00018325","sets":["697:698:699"]},"author_link":["53350","53351","53352"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"49–69","bibliographicPageStart":"49–69","bibliographicVolumeNumber":"28","bibliographic_titles":[{"bibliographic_title":"Journal of the Ramanujan Mathematical Society"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In the former part of this paper, we give functional equations for Barnes multiple zeta-functions and consider some relevant results. In particular, we show that Ramanujan’s classical formula for the Riemann zeta values can be derived from functional equations for Barnes zetafunctions. In the latter half part, we generalize some evaluation formulas for certain series involving hyperbolic functions in terms of Bernoulli polynomials. The original formulas were classically given by Cauchy, Mellin, Ramanujan, and later recovered and reformulated by Berndt. From our consideration, we give multiple versions of these known formulas.","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/2237/20427"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Ramanujan Mathematical Society","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_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0970-1249","subitem_source_identifier_type":"PISSN"}]},"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":"53350","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Matsumoto, Kohji","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"53351","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Tsumura, Hirofumi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"53352","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":"2018-02-21"}],"displaytype":"detail","filename":"2.pdf","filesize":[{"value":"182.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"2.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/18325/files/2.pdf"},"version_id":"07688232-1c93-4277-ab42-f80c3d2c5e55"}]},"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":"Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2014-06-27"},"publish_date":"2014-06-27","publish_status":"0","recid":"18325","relation_version_is_last":true,"title":["Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:42:38.706507+00:00"}