GENERALIZED STARK FORMULAE OVER FUNCTION FIELDS

被引：0

作者：

Tan, Ki-Seng ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 05期

关键词：

Stickelberger element; special values of L-functions; Stark Conjecture; conjecture of Gross; class numbers; local Leopoldt conjecture; Rubin's conjecture; conjecture of Rubin and Burns; regulators; ABELIAN L-FUNCTIONS; CLASS NUMBER FORMULA; GLOBAL FUNCTION-FIELDS; STICKELBERGER ELEMENTS; CONJECTURE; DERIVATIVES; EXTENSIONS; GROSS; S=0; VALUES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes work of Hayes and a conjecture of Gross. It is used to deduce a p-adic version of the Rubin-Stark Conjecture and the Burns Conjecture.

引用

页码：2277 / 2304

页数：28

共 34 条

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