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On the special values of abelian L-functions
http://hdl.handle.net/2261/1584
http://hdl.handle.net/2261/15849080ed92-e220-43f1-928a-529e60904c1e
名前 / ファイル | ライセンス | アクション |
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jms010203.pdf (160.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On the special values of abelian L-functions | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Tan, Ki-Seng
× Tan, Ki-Seng |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Here we give a proof of the $p$-portion of a conjecture of Gross over the global function fields of characteristic $p$. In this case, the conjecture is in fact a refinement of the class number formula. Here the classic Dedekind Zeta function is generalized by a $p$-adic measure which interpolates the special values of abelian L-functions, and the regulator of the units group is generalized by a $p$-adic regulator. The L-functions are associated to the characters of the maximal abelian extension of the given global field unramified outside a finite set {$v_0, v_1, \dots, v_r,$} of places of the field. The case that $r=1$ has been proved by Hayes. Gross also proved some congruence of the formula. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 1, 号 2, p. 305-319, 発行日 1994 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1317462 | ||||||
Mathmatical Subject Classification | ||||||
11S40(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
11R27(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
11R58(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1993-05-25 |