{"created":"2023-08-02T03:53:47.912885+00:00","id":2558,"links":{},"metadata":{"_buckets":{"deposit":"7569c261-9fce-4760-91fe-0bdad00847f4"},"_deposit":{"created_by":10,"id":"2558","owners":[10],"pid":{"revision_id":0,"type":"depid","value":"2558"},"status":"published"},"_oai":{"id":"oai:repository.lib.tottori-u.ac.jp:00002558","sets":["1:11","2:14","23:31:604:606"]},"author_link":["498"],"item_3_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-03-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"41","bibliographicPageStart":"37","bibliographicVolumeNumber":"16","bibliographic_titles":[{"bibliographic_title":"鳥取大学教育支援・国際交流推進機構教育センター紀要","bibliographic_titleLang":"ja"},{"bibliographic_title":"Tottori University Center for Liberal Arts Education bulletin","bibliographic_titleLang":"en"}]}]},"item_3_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":" Fröberg [2] said that he believes f(x) = ∑∞ n=1 μ(n) / n einx being non-differentiable everywhere by computer computation, where i = √−1 and μ(n) is the Möbius function. In this paper, we show in Theorem 1.1 that for any interval in [0, 2π] there exists a positive Lebesgue measurable (L1-measurable) set such that f'(x) is not L2-measurable on its interval.","subitem_description_type":"Other"}]},"item_3_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"鳥取大学教育支援・国際交流推進機構教育センター"}]},"item_3_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"後藤和雄. On the non-differentiability of special exponential sums with M¨obius weight; n=1 μ(n) n einx. 鳥取大学教育支援・国際交流推進機構教育センター紀要. 2020, 16, 37-41."}]}]},"item_3_rights_15":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"注があるものを除き、この著作物は日本国著作権法により保護されています。 / This work is protected under Japanese Copyright Law unless otherwise noted."}]},"item_3_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA12841878","subitem_source_identifier_type":"NCID"}]},"item_3_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"24337862","subitem_source_identifier_type":"ISSN"}]},"item_3_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"後藤, 和雄"},{"creatorName":"ゴトウ, カズオ","creatorNameLang":"ja-Kana"},{"creatorName":"Goto, Kazuo","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-03-27"}],"displaytype":"detail","filename":"tuecb16_37.pdf","filesize":[{"value":"1.7 MB"}],"format":"application/pdf","licensefree":"注があるものを除き、この著作物は日本国著作権法により保護されています。 / This work is protected under Japanese Copyright Law unless otherwise noted.","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"tuecb16_37.pdf","url":"https://repository.lib.tottori-u.ac.jp/record/2558/files/tuecb16_37.pdf"},"version_id":"38eea4f2-936c-4275-aa09-9b4aae70f2b9"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"non-differentiable","subitem_subject_scheme":"Other"},{"subitem_subject":"exponential sums","subitem_subject_scheme":"Other"},{"subitem_subject":"M¨obius function","subitem_subject_scheme":"Other"},{"subitem_subject":"non-differentiable","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"exponential sums","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"M¨obius function","subitem_subject_language":"en","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":"departmental bulletin paper"}]},"item_title":"On the non-differentiability of special exponential sums with M?bius weight; ∑∞ n=1 μ(n) / n einx","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the non-differentiability of special exponential sums with M?bius weight; ∑∞ n=1 μ(n) / n einx","subitem_title_language":"en"}]},"item_type_id":"3","owner":"10","path":["14","11","606"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-06-19"},"publish_date":"2020-06-19","publish_status":"0","recid":"2558","relation_version_is_last":true,"title":["On the non-differentiability of special exponential sums with M?bius weight; ∑∞ n=1 μ(n) / n einx"],"weko_creator_id":"10","weko_shared_id":-1},"updated":"2023-09-27T04:21:29.582765+00:00"}