{"created":"2021-03-01T06:20:42.495007+00:00","id":4053,"links":{},"metadata":{"_buckets":{"deposit":"b853fcce-7934-4999-8716-70d032448adf"},"_deposit":{"id":"4053","owners":[],"pid":{"revision_id":0,"type":"depid","value":"4053"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00004053","sets":["312:391","9:233:280"]},"item_7_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"総実代数体の羃指数p型非可換p拡大に対するp-進ゼータ関数の帰納的構成"}]},"item_7_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-03-24","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2011-03-24"}]},"item_7_degree_grantor_23":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (東京大学)"}]}]},"item_7_degree_name_20":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(数理科学)"}]},"item_7_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We construct the p-adic zeta function for a one-dimensional(as a p-adic Lie extension) non-commutative p-extension F∞ of a totallyreal number field F such that the finite part of its Galois group G is ap-group of exponent p. We first calculate the 'Whitehead groups of theIwasawa algebra Λ(G) and its canonical Ore localisation Λ(G)s by usingOliver-Taylor's theory of integral logarithms. This calculation reducesthe existence of the non-commutative p-adic zeta function to certain congruencesbetween abelian p-adic zeta pseudomeasures. Then we finallyverify these congruences by using Deligne-Ribet's theory and a certaininductive technique. As an application we shall prove a special caseof (the p-part of) the non-commutative equivariant Tamagawa numberconjecture for critical Tate motives.","subitem_description_type":"Abstract"}]},"item_7_dissertation_number_26":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第27193号"}]},"item_7_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"9351","nameIdentifierScheme":"WEKO"}],"names":[{"name":"原, 隆"}]}]},"item_7_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00004044","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"学位","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_subject_13":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_text_22":{"attribute_name":"学位分野","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (数理科学)"}]},"item_7_text_24":{"attribute_name":"研究科・専攻","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (数理科学研究科)"}]},"item_7_text_27":{"attribute_name":"学位記番号","attribute_value_mlt":[{"subitem_text_value":"博数理第374号"}]},"item_7_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"東京大学大学院数理科学研究科"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hara, Takashi"}],"nameIdentifiers":[{"nameIdentifier":"9350","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"HaraT_23_3_PhD_a.pdf","filesize":[{"value":"1.8 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HaraT_23_3_PhD_a.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4053/files/HaraT_23_3_PhD_a.pdf"},"version_id":"e3eaedd1-938d-496e-95e1-1606c253a996"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"HaraT_23_3_PhD_b.pdf","filesize":[{"value":"195.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HaraT_23_3_PhD_b.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4053/files/HaraT_23_3_PhD_b.pdf"},"version_id":"e90fa551-9e82-4f5e-8127-eb8779f11523"}]},"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":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"Inductive construction of the p-adic zeta functions for non-commutative p-extensions of exponent p of totally real fields","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Inductive construction of the p-adic zeta functions for non-commutative p-extensions of exponent p of totally real fields"}]},"item_type_id":"7","owner":"1","path":["391","280"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-23"},"publish_date":"2012-10-23","publish_status":"0","recid":"4053","relation_version_is_last":true,"title":["Inductive construction of the p-adic zeta functions for non-commutative p-extensions of exponent p of totally real fields"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T03:45:46.995581+00:00"}