{"created":"2021-03-01T06:15:13.236096+00:00","id":8506,"links":{},"metadata":{"_buckets":{"deposit":"0f8bfddd-6a1a-4014-b3aa-d7adb7282455"},"_deposit":{"id":"8506","owners":[],"pid":{"revision_id":0,"type":"depid","value":"8506"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00008506","sets":["697:698:699"]},"author_link":["23832","23833"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-05","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"266","bibliographicPageStart":"239","bibliographicVolumeNumber":"131","bibliographic_titles":[{"bibliographic_title":"Compositio Mathematica"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The main object of this paper is the mean square I_h(s) of higher derivatives of Hurwitz zeta functions ζ(s,α) . We shall prove asymptotic formulas for I_h(1/2+it)as t→＋∞with the coefficients in closed expressions (Theorem 1). We also prove a certain explicit formula for I_h(1/2+it) (Theorem 2), in which the coefficients are, in a sense, not explicit. However, one merit of this formula is that it contains sufficient information for obtaining the complete asymptotic expansion for I_h(1/2+it) when h is small. Another merit is that Theorem 1 can be strengthened with the aid of Theorem 2 (see Theorem 3). The fundamental method for the proofsisis Atkinson's dissection argument applied to the product ζ(u,α)ζ(v,α) with the independent complex variables u and v.","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/2237/10253"}]},"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/10.1023/A:1015585314625","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":"0010437X","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":"MATSUMOTO, KOHJI","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23832","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"KATSURADA, MASANORI","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23833","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_Explicit_Formulas_2002.pdf","filesize":[{"value":"200.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"KOHJI_MATSUMOTO_Explicit_Formulas_2002.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/8506/files/KOHJI_MATSUMOTO_Explicit_Formulas_2002.pdf"},"version_id":"c5fcf7aa-dc83-4f78-a351-d4edfcefb999"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Riemann zeta function","subitem_subject_scheme":"Other"},{"subitem_subject":"Hurwitz zeta function","subitem_subject_scheme":"Other"},{"subitem_subject":"mean square","subitem_subject_scheme":"Other"},{"subitem_subject":"asymptotic expansion","subitem_subject_scheme":"Other"}]},"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":"Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2008-07-22"},"publish_date":"2008-07-22","publish_status":"0","recid":"8506","relation_version_is_last":true,"title":["Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:42:26.909894+00:00"}