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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 |
|---|---|---|
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Scheme | NDC | |||||
| 主題 | 415 | |||||
| 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 | ||||||
