A note on Greenberg's conjecture and the abc conjecture

被引：4
|
作者：
Ichimura, H [1 ]
机构：
[1] Yokohama City Univ, Dept Math, Kanazawa Ku, Yokohama, Kanagawa 236, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 05期
关键词：
D O I：
10.1090/S0002-9939-98-04196-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For any totally real number field Ic and any prime number p, Greenberg's conjecture for (k,p) asserts that the Iwasawa invariants lambda(p)(k) and mu(p)(k) are both zero. For a fixed real abelian field k, we prove that the conjecture is "affirmative" for infinitely many p (which split in k) if we assume the abe conjecture for k.
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页码：1315 / 1320
页数：6
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