{"created":"2023-06-20T16:46:33.521186+00:00","id":18063,"links":{},"metadata":{"_buckets":{"deposit":"0d978181-5d3f-4a8a-86f4-05bca9d1b4de"},"_deposit":{"created_by":29,"id":"18063","owners":[29],"pid":{"revision_id":0,"type":"depid","value":"18063"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00018063","sets":["14:2667:4296"]},"author_link":["3336"],"item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"5","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2015)"}]}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要（和文）：研究目標はJ.-P.セールが一変数モジュラー形式の場合に研究したp進モジュラー形式を多変数モジュラー形式、たとえばジーゲルモジュラー形式やエルミートモジュラー形式の場合に拡張しようとするものであった。詳細にのべると、セールの理論で重要な役割を果たしたテータ作用素の概念を、これらのモジュラー形式の場合に拡張し、その性質を研究した。この期間での特筆すべき成果としては、素数pについてテータ作用素のmod p核の概念を定義し、今まで知られていた井草のカスプ形式がこの性質をもつことを発見したことが挙げられる。\n研究成果の概要（英文）：The aim of this study is to extend Serre’s theory of mod p or p-adic modular forms to the case of modular forms of several variables. In the previous study we determined the structure of the algebra of mod p modular forms in the case of Siegel modular forms which is a typical example of such modular forms. Moreover we determined the structure of such algebra in the case of Hermitian modular forms whose based field is the Gaussian field. Based on these results, we extended the notion of the theta operator and got some results on mod p kernel of such operator. This is defined as the image of the theta operator is congruent zero modulo some prime p. We could get a lot of such examples, for example, Igusa’s weight 35 cusp form and theta series for the Leech lattice are mod 23 kernel of the theta operator. We also clarified the relation between the weight and the congruence prime.","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：2013～2015;   課題番号：25400031;   研究分野：代数学;   科研費の分科・細目：","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ","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_relation_11":{"attribute_name":"著者 外部リンク","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400031/"}]}]},"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; 教授"}]},"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":[{"nameIdentifier":"3336","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"20164402","nameIdentifierScheme":"研究者番号","nameIdentifierURI":" "}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-17"}],"displaytype":"detail","filename":"25400031seika.pdf","filesize":[{"value":"118.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"25400031seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/18063/files/25400031seika.pdf"},"version_id":"eb55bdb4-a9c0-49e1-ab35-b6b193473ae4"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"保型形式","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":"Study on arithmetic theory of automorphic forms of several variables","subitem_title_language":"en"}]},"item_type_id":"8","owner":"29","path":["4296"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-10-17"},"publish_date":"2016-10-17","publish_status":"0","recid":"18063","relation_version_is_last":true,"title":["多変数保型形式の整数論的研究"],"weko_creator_id":"29","weko_shared_id":-1},"updated":"2023-06-20T22:09:52.934785+00:00"}