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

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J. Math. Sci. Univ. Tokyo
Vol. 4 (1997), No. 2, Page 373--383.

Lee, Joongul
On Gross's Refined Class Number Formula for Elementary Abelian Extensions
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
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

$l$ .

Mathematics Subject Classification (1991): Primary 11S40; Secondary 11R29, 11R37

Mathematical Reviews Number: MR1466351

Received: 1996-07-18

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