In this paper we consider the conjecture of Gross on the special values of abelian $L$-functions when the Galois group $G$ is an elementary abelian $l$-group. Under some restrictions, we prove that the conjecture holds when the class number of the base field is prime to $l$.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
4
号
2
ページ
373 - 383
発行年
1997
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1466351
Mathmatical Subject Classification
11S40(MSC1991)
11R29(MSC1991)
11R37(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1996-07-18
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On Gross's Refined Class Number Formula for Elementary Abelian Extensions
jms040205.pdf
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