{"created":"2023-06-19T10:29:12.404212+00:00","id":8937,"links":{},"metadata":{"_buckets":{"deposit":"37905abc-044e-4fbc-8999-de45c36baae9"},"_deposit":{"created_by":18,"id":"8937","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"8937"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00008937","sets":["216:407:303","46"]},"author_link":["42141","929"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"346","bibliographicPageStart":"332","bibliographicVolumeNumber":"25","bibliographic_titles":[{"bibliographic_title":"Experimental Mathematics","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For a primitive form f of weight k for SL2(Z), let KS(f) be the Kim-Ramakrishnan-Shahidi (K-R-S) lift of f to the space of cusp forms of weight det(k+1)circle times Sym(k-2) for Sp(2)(Z). Based on some working hypothesis, we propose a conjecture, which relates the ratio KS(f), KS(f)/< f, f >(3) of the periods (Petersson norms) to the symmetric 6th L-value L(3k - 2, f, Sym(6)) of f. From this, we also propose that a prime ideal dividing the (conjectural) algebraic part L(3k - 2, f, Sym(6)) of L(3k - 2, f, Sym(6)) gives a congruence between the K-R-S lift and non-K-R-S lift, and test this conjecture numerically.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1080/10586458.2015.1070777","subitem_link_url":"https://doi.org/10.1080/10586458.2015.1070777"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"桂田 英典（KATSURADA Hidenori）","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000125_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Taylor & Francis","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1080/10586458.2015.1070777","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 02/07/2016, available online: http://wwww.tandfonline.com/10.1080/10586458.2015.1070777","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1058-6458","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1944-950X","subitem_source_identifier_type":"EISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10926641","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"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_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"Katsurada,  Hidenori","creatorNameLang":"en"},{"creatorName":"桂田, 英典","creatorNameLang":"ja"},{"creatorName":"カツラダ, ヒデノリ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"TAKEMORI, Sho","creatorNameLang":"en"},{"creatorName":"竹森, 翔","creatorNameLang":"ja"},{"creatorName":"タケモリ, ショウ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-07-03"}],"displaytype":"detail","filename":"EM_25-3_332-346.pdf","filesize":[{"value":"226.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"EM_25-3_332-346","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/8937/files/EM_25-3_332-346.pdf"},"version_id":"0fef3bc8-359c-477b-929d-a6eef2ff511f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Kim-Ramakrishnan-Shahidi lif","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"symmetric 6-th L function","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"congruence","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","303"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-06-07"},"publish_date":"2016-06-07","publish_status":"0","recid":"8937","relation_version_is_last":true,"title":["Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-02-14T00:04:50.178318+00:00"}