{"_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": ["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\u0027s 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", "download_preview_message": "", "file_order": 0, "filename": "KOHJI_MATSUMOTO_Explicit_Formulas_2002.pdf", "filesize": [{"value": "200.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 200500.0, "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"], "permalink_uri": "http://hdl.handle.net/2237/10253", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-07-22"}, "publish_date": "2008-07-22", "publish_status": "0", "recid": "8506", "relation": {}, "relation_version_is_last": true, "title": ["Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III"], "weko_shared_id": -1}