ON THE IWASAWA lambda-INVARIANT OF THE CYCLOTOMIC Z(2)-EXTENSION OF Q(root p) II

被引：3

作者：

Fukuda, Takashi ^{[1
]}

Komatsu, Keiichi ^{[2
]}

机构：

[1] Nihon Univ, Dept Math, Coll Ind Technol, 2-11-1 Shin Ei, Narashino, Chiba, Japan

[2] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2014年 / 51卷 / 01期

关键词：

Iwasawa invariant; cyclotomic unit; real quadratic field;

D O I：

10.7169/facm/2014.51.1.9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the preceding papers, we studied the Iwasawa lambda-invariant of the cyclotomic Z2- extension of Q(root p) for an odd prime number p using certain units and the invariants n(0)((r)) and n2 . In the present paper, we develop new criteria for Greenberg conjecture using n(0)((r)) and n2.

引用

页码：167 / 179

页数：13

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