On some p-adic power series attached to the arithmetic of Q(ζp)

被引：4

作者：

Angles, Bruno ^{[1
]}

机构：

[1] Univ Caen, Lab Nicolas Oresme, CNRS, UMR 6139, F-14032 Caen, France

来源：

JOURNAL OF NUMBER THEORY | 2007年 / 122卷 / 01期

关键词：

p-adic L-functions; Iwasawa theory; cyclotomic fields;

D O I：

10.1016/j.jnt.2006.04.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime number and let theta be a nontrivial even character of the Galois group of Q(zeta(p))/Q. We prove that the derivative of the Iwasawa power series f (T, theta) is not congruent to zero modulo p, where f (T, theta) is associated to the p-adic L-function L-p(s, theta). (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：221 / 246

页数：26

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