{"created":"2024-12-12T08:06:31.652572+00:00","id":2010402,"links":{},"metadata":{"_buckets":{"deposit":"e15b9cc9-0ec5-4b5d-9d2c-57dd5594d7d4"},"_deposit":{"created_by":7,"id":"2010402","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2010402"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02010402","sets":["1713853213384:1713853295607"]},"author_link":["200"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-11-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"391","bibliographicPageStart":"381","bibliographicVolumeNumber":"9","bibliographic_titles":[{"bibliographic_title":"Arnold Mathematical Journal","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In order to discuss the validity of the Kummer-Vandiver conjecture, we consider a generalized problem associated to the conjecture. Let p be an odd prime number and ζp a primitive p-th root of unity. Using new programs, we compute the Iwasawa invariants of Q(√d, ζp) in the range |d| < 200 and 200 < p < 1,000,000. From our data, the actual numbers of exceptional cases seem to be near the expected numbers for p < 1,000,000. Moreover, we find a few rare exceptional cases for |d| < 10 and p > 1,000,000. We give two partial reasons why it is difficult to find exceptional cases for d = 1 including counter-examples to the Kummer-Vandiver conjecture.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Institute for Mathematical Sciences","subitem_publisher_language":"en"},{"subitem_publisher":"Stony Brook University","subitem_publisher_language":"en"},{"subitem_publisher":"Springer Nature","subitem_publisher_language":"en"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"21996792","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"21996806","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1718868208704":{"attribute_name":"備考","attribute_value_mlt":[{"subitem_textarea_language":"ja","subitem_textarea_value":"This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40598-022-00220-3"}]},"item_1722929371688":{"attribute_name":"出版社版DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"10.1007/s40598-022-00220-3"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s40598-022-00220-3","subitem_relation_type_select":"DOI"}}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"392523"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"高橋, 浩樹","creatorNameLang":"ja"},{"creatorName":"タカハシ, ヒロキ","creatorNameLang":"ja-Kana"},{"creatorName":"Takahashi, Hiroki","creatorNameLang":"en"}],"familyNames":[{"familyName":"高橋","familyNameLang":"ja"},{"familyName":"タカハシ","familyNameLang":"ja-Kana"},{"familyName":"Takahashi","familyNameLang":"en"}],"givenNames":[{"givenName":"浩樹","givenNameLang":"ja"},{"givenName":"ヒロキ","givenNameLang":"ja-Kana"},{"givenName":"Hiroki","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"200","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"124425/profile-ja.html","nameIdentifierScheme":"徳島大学 教育研究者総覧","nameIdentifierURI":"http://pub2.db.tokushima-u.ac.jp/ERD/person/124425/profile-ja.html"},{"nameIdentifier":"90291476","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?qm=90291476"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-11-07"}],"displaytype":"detail","filename":"amj_9_3_381.pdf","filesize":[{"value":"772 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2010402/files/amj_9_3_381.pdf"},"version_id":"8da68773-c084-41d6-ab50-2ad93333ca90"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Iwasawa invariants","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Kummer-Vandiver conjecture","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"ideal class group","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":"A Generalized Problem Associated to the Kummer–Vandiver Conjecture","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Generalized Problem Associated to the Kummer–Vandiver Conjecture","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853295607"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-11-10"},"publish_date":"2022-11-10","publish_status":"0","recid":"2010402","relation_version_is_last":true,"title":["A Generalized Problem Associated to the Kummer–Vandiver Conjecture"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2025-01-29T04:35:40.874992+00:00"}