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
On Gross's Refined Class Number Formula for Elementary Abelian Extensions
jms040205.pdf
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