{"_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": []}, "author_link": ["23978", "23979"], "item_10_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Let \u03b6(s,\u03b1) be the Hurwitz zeta function with parameter \u03b1. Power mean values of the form\u3000\u2211^q_a=1\u03b6(s,\u03b1/q)^h or \u2211^q_a=1|\u03b6(s,\u03b1/q)|^2h are studied, where q and h are positive integers. These mean values can be written as linear combinations of, \u2211^q_a=1 \u03b6_r(s_1,...,s_r;a/q), where \u03b6_r(s_1,...,s_r;\u03b1)is a generalization of Euler-Zagier multiple zeta sums. The Mellin-Barnes integral formula is used to prove an asymptotic expansion of \u2211^q_a=1\u03b6_r(s_1,...,s_r;a/q)  with respect to q. Hence a general way of deducing asymptotic expansion formulas for \u2211^q_a=1\u03b6(s,\u03b1/q)^h and \u2211^q_a=1|\u03b6(s,\u03b1/q)|^2h  is obtained. In particular, the asymptotic expansion of \u2211^q_a=1\u03b6(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": "\u51fa\u7248\u8005", "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": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "Cambridge University Press", "subitem_rights_language": "en"}]}, "item_10_select_15": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "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": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_1615787544753": {"attribute_name": "\u51fa\u7248\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "\u30a2\u30af\u30bb\u30b9\u6a29", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "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": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "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_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf", "filesize": [{"value": "228.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 228700.0, "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "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": ["697/698/699"], "permalink_uri": "http://hdl.handle.net/2237/10284", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-07-25"}, "publish_date": "2008-07-25", "publish_status": "0", "recid": "8536", "relation": {}, "relation_version_is_last": true, "title": ["ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS"], "weko_shared_id": -1}