AN EXTENSION OF THE FIRST-ORDER STARK CONJECTURE

被引：4

作者：

Erickson, Stefan ^{[1
]}

机构：

[1] Colorado Coll, Dept Math & Comp Sci, Colorado Springs, CO 80903 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2009年 / 39卷 / 03期

关键词：

Special values of L-functions; Stark conjectures; FIELDS;

D O I：

10.1216/RMJ-2009-39-3-765

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the first-order abelian Stark conjecture to include situations where every imprimitive L(S)-function vanishes at s = 0 but no prime in S splits completely. We reduce the problem to finding certain exponential factors in the original Stark units and prove that the extended conjecture follows from the original conjecture under certain circumstances.

引用

页码：765 / 787

页数：23

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