{"_buckets": {"deposit": "b292d56d-150a-4d02-a06c-917168e8b97d"}, "_deposit": {"id": "8508", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "8508"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00008508"}, "item_10_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1999-07", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "131", "bibliographicPageStart": "117", "bibliographicVolumeNumber": "127", "bibliographic_titles": [{"bibliographic_title": "Mathematical Proceedings of the Cambridge Philosophical Society"}]}]}, "item_10_description_4": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "We study \u0394(x;\u03c6), the error term in the asymptotic formula for \u03a3_n\u2264xc_n, where the c_ns are generated by the Rankin-Selberg series. Our main tools are Vorono\u0457-type\nformulae. First we reduce the evaluation of \u0394(x;\u03c6) to that of \u0394(x;\u03c6), the error term\nof the weighted sum \u2211_n\u2264_x(x-n)c_n. Then we prove an upper bound and a sharp mean\nsquare formula for \u0394_1(x;\u03c6), by applying the Vorono\u0457 formula of Meurman\u0027s type.We\nalso prove that an improvement of the error term in the mean square formula would\nimply an improvement of the upper bound of \u0394(x;\u03c6). Some other related topics are\nalso discussed.", "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/2237/10255"}]}, "item_10_publisher_32": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Cambridge University Press"}]}, "item_10_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "Cambridge University Press"}]}, "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": "0305-0041", "subitem_source_identifier_type": "ISSN"}]}, "item_10_text_14": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "IVIC, ALEKSANDAR"}], "nameIdentifiers": [{"nameIdentifier": "23835", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "MATSUMOTO, KOHJI"}], "nameIdentifiers": [{"nameIdentifier": "23836", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "TANIGAWA, YOSHIO"}], "nameIdentifiers": [{"nameIdentifier": "23837", "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_On_rises_means_of_the_1999.pdf", "filesize": [{"value": "359.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 359000.0, "url": {"label": "KOHJI_MATSUMOTO_On_rises_means_of_the_1999.pdf", "url": "https://nagoya.repo.nii.ac.jp/record/8508/files/KOHJI_MATSUMOTO_On_rises_means_of_the_1999.pdf"}, "version_id": "4fb9c960-a453-4629-bff1-18f0908f003f"}]}, "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": "On Riesz means of the coefficients of the Rankn--Selberg series", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "On Riesz means of the coefficients of the Rankn--Selberg series"}]}, "item_type_id": "10", "owner": "1", "path": ["697/698/699"], "permalink_uri": "http://hdl.handle.net/2237/10255", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-07-23"}, "publish_date": "2008-07-23", "publish_status": "0", "recid": "8508", "relation": {}, "relation_version_is_last": true, "title": ["On Riesz means of the coefficients of the Rankn--Selberg series"], "weko_shared_id": null}