{"created":"2023-07-27T06:44:33.201215+00:00","id":34818,"links":{},"metadata":{"_buckets":{"deposit":"87900a50-a4cb-4bc3-a832-4b91dfd52d6e"},"_deposit":{"created_by":3,"id":"34818","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"34818"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00034818","sets":["2812:2813:2832"]},"author_link":["93526","38"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003-03-01","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"5p.","bibliographicVolumeNumber":"1999-2001","bibliographic_titles":[{"bibliographic_title":"平成13(2001)年度科学研究費補助金 基盤研究(B) 研究成果報告書"},{"bibliographic_title":"2001 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"1.新谷関数(村瀬篤氏,加藤信一氏との共同研究) 分解型直交群のWhittaker-Shintani関数の明示公式の論文を完成した.一部は当研究開始以前に得られていたが,より包括的・統一的な結果となった. 2.3次ユニタリ群上の保型形式(村瀬篤氏との共同研究) (1)原始的テータ関数による正則Eisenstein級数の展開を与え,その展開係数の代数性を示した. (2)U(1,1)からU(2,1)へのKudla liftについて,原始的テータ関数による展開を求めた.また,Hecke作用素との両立性についての別証を与えた. 3.保型形式の構成 (1)Kudla liftをJacobi形式からSO(2,4)へのOda liftのSU(2,1)への制限として捉えることにより,数多く具体例を(Taylor展開の形で)与えた.今後,3次ユニタリ群の保型形式環の構造決定に役立つと思われる. (2)定値直交群O(n)上の保型形式から作られるO(n+1,1)上のEisenstein級数のFourier展開を求める研究を開始した.非定数項の新谷関数よる記述を考察し,小さなnについては決定した.","subitem_description_type":"Abstract"},{"subitem_description":"1. Shintani functions (joint work with A. Murase and S. Kato)\nWe proved the multiplicity one property and explicit formulae of Whittaker-Shintani functions for split orthogonal groups.\n2. Automorphic forms on unitary groups of degree 3 (joint work with A. Murase)\n(1) We determined the refined Fourier-Jacobi expansion of holomorphic Eisenstein series and proved the algebraicity of Fourier-Jacobi coefficients.\n(2) We determined the refinedd Fourier-Jacobi expansion of Kudla lift. We gave another proof of the Hecke compatibility of Kudla lift.\n3. Construction of automorphic forms\n(1) We constructed many automorphic forms on unitary groups of degree 3 explicity using Jacobi forms. Since their Taylor expansion can be writtten explictly, these forms will be used to determine the structure of the graded algebra.\n(2) We started the study of Fourier expansion of Eisenstein series on 0(n+1,1) induced from automorphic forms on O(n). We hope that non-constant terms are described by using Shintani functions.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:11440005, 研究期間(年度):1999–2001","subitem_description_type":"Other"},{"subitem_description":"出典：「保型形式・保型L関数・新谷関数の研究」研究成果報告書　課題番号11440005\n(KAKEN：科学研究費助成事業データベース（国立情報学研究所）)\n　　　本文データは著者版報告書より作成","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00034805","subitem_identifier_reg_type":"JaLC"}]},"item_9_publisher_17":{"attribute_name":"公開者","attribute_value_mlt":[{"subitem_publisher":"金沢大学理学部"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=30183841","subitem_relation_type_select":"URI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11440005/","subitem_relation_type_select":"URI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-11440005/114400052001kenkyu_seika_hokoku_gaiyo/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-05"}],"displaytype":"detail","filename":"SC-PR-SUGANO-T-kaken 2003-5p.pdf","filesize":[{"value":"210.8 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-SUGANO-T-kaken 2003-5p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/34818/files/SC-PR-SUGANO-T-kaken 2003-5p.pdf"},"version_id":"aa84786a-41b5-4644-9002-6e09d45ea49d"}]},"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":"保型形式・保型L関数・新谷関数の研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"保型形式・保型L関数・新谷関数の研究"},{"subitem_title":"Study on automorphic forms, automorphic L functions and Shintani functions","subitem_title_language":"en"}]},"item_type_id":"9","owner":"3","path":["2832"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-05"},"publish_date":"2017-10-05","publish_status":"0","recid":"34818","relation_version_is_last":true,"title":["保型形式・保型L関数・新谷関数の研究"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-07-27T14:44:39.703491+00:00"}