{"created":"2021-03-01T06:15:15.166113+00:00","id":8536,"links":{},"metadata":{"_buckets":{"deposit":"67f92553-bfda-4506-8a15-be9435f906a1"},"_deposit":{"id":"8536","owners":[],"pid":{"revision_id":0,"type":"depid","value":"8536"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00008536","sets":["697:698:699"]},"author_link":["23978","23979"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"60","bibliographicPageStart":"41","bibliographicVolumeNumber":"66","bibliographic_titles":[{"bibliographic_title":"Journal of the London Mathematical Society"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let ζ(s,α) be the Hurwitz zeta function with parameter α. Power mean values of the form　∑^q_a=1ζ(s,α/q)^h or ∑^q_a=1|ζ(s,α/q)|^2h are studied, where q and h are positive integers. These mean values can be written as linear combinations of, ∑^q_a=1 ζ_r(s_1,...,s_r;a/q), where ζ_r(s_1,...,s_r;α)is a generalization of Euler-Zagier multiple zeta sums. The Mellin-Barnes integral formula is used to prove an asymptotic expansion of ∑^q_a=1ζ_r(s_1,...,s_r;a/q)  with respect to q. Hence a general way of deducing asymptotic expansion formulas for ∑^q_a=1ζ(s,α/q)^h and ∑^q_a=1|ζ(s,α/q)|^2h  is obtained. In particular, the asymptotic expansion of ∑^q_a=1ζ(1/2,a/q)^3 with respect to q is written down.","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/2237/10284"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Cambridge University Press","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1112/S0024610702003253","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Cambridge University Press","subitem_rights_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":"0024-6107","subitem_source_identifier_type":"PISSN"}]},"item_10_text_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"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":"EGAMI, SHIGEKI","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23978","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"MATSUMOTO, KOHJI","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23979","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":"KOHJI_MATSUMOTO_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf","filesize":[{"value":"228.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"KOHJI_MATSUMOTO_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/8536/files/KOHJI_MATSUMOTO_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf"},"version_id":"ff12f4da-5284-4be7-9b2a-01ca9853127f"}]},"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":"ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2008-07-25"},"publish_date":"2008-07-25","publish_status":"0","recid":"8536","relation_version_is_last":true,"title":["ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:49:02.489472+00:00"}