{"created":"2023-06-20T16:49:14.609907+00:00","id":21412,"links":{},"metadata":{"_buckets":{"deposit":"0b35da7c-ea8d-4973-9c06-d922e3dd0173"},"_deposit":{"created_by":3,"id":"21412","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"21412"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00021412","sets":["14:2667:4613"]},"author_link":["3336"],"control_number":"21412","item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"7","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2019)"}]}]},"item_8_description_25":{"attribute_name":"リンクURL","attribute_value_mlt":[{"subitem_description":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05085/","subitem_description_type":"Other"}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要（和文）：多変数保型形式とくに多変数modular形式のp進的性質について研究を行った。具体的に述べると，theta作用素と呼ばれるmodular形式に作用するある種の微分作用素について，その像が素数pを法として消えるようなmodular形式，theta作用素のmod p核に入るようなmodular形式について研究を行った。研究の発端は，Igusaのcusp形式と呼ばれるmodular形式が，mod 23核に入るという事実の発見であったが，この研究期間を通して，どのような次数のmodular形式が，どのような素数pに対して，theta作用素のmod p核に入るかを解明した。研究成果の概要（英文）：I studied on the p-adic propperties of automorphic forms of several variables, especially modular forms of several variables. Strictly seaking, I studied the theta operator, which is a kind of differential operator. I considered the modular form whose image vanishes modulo p. The origin of my study is the discovery that so-called the Igusa cusp form satisfies such property, namely, it becomes a modular form of mod 23 kernel. During the period of study, I clarified what kind of modular form has such property, what kind of modular form with degree n and prime number p becomes an element of mod p kernel of the theta operator.","subitem_description_type":"Abstract"}]},"item_8_description_36":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究種目：基盤研究(C);  研究期間：2016～2019;   課題番号：16K05085;   研究分野：整数論;   科研費の分科・細目：","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ(WEKO2)","attribute_value_mlt":[{"subitem_description":"Research Paper","subitem_description_type":"Other"}]},"item_8_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学"}]},"item_8_text_10":{"attribute_name":"著者 役割","attribute_value_mlt":[{"subitem_text_value":"研究代表者"}]},"item_8_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Nagaoka, Shoyu"}]},"item_8_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学理工学部; 非常勤講師"}]},"item_8_text_9":{"attribute_name":"著者所属(翻訳)","attribute_value_mlt":[{"subitem_text_value":"Kindai University"}]},"item_8_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"長岡, 昇勇"},{"creatorName":"ナガオカ, ショウユウ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-03-15"}],"displaytype":"detail","filename":"16K05085seika.pdf","filesize":[{"value":"90.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"16K05085seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/21412/files/16K05085seika.pdf"},"version_id":"0fffce5a-c82a-44ec-8344-557fc75ea92b"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"modular形式","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"多変数保型形式の整数論的研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"多変数保型形式の整数論的研究","subitem_title_language":"ja"},{"subitem_title":"Arithmetic study on automorphic forms of several variables","subitem_title_language":"en"}]},"item_type_id":"8","owner":"3","path":["4613"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-03-15"},"publish_date":"2021-03-15","publish_status":"0","recid":"21412","relation_version_is_last":true,"title":["多変数保型形式の整数論的研究"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-09-13T00:45:47.709120+00:00"}