Noncyclotornic Zp-extensions of imaginary quadratic fields

被引：8
|
作者：
Fukuda, T
Komatsu, K
机构：
[1] Nihon Univ, Coll Ind Technol, Dept Math, Narashino, Chiba 275, Japan
[2] Waseda Univ, Sch Sci & Engn, Dept Informat & Comp Sci, Tokyo 169, Japan
来源：
EXPERIMENTAL MATHEMATICS | 2002年 / 11卷 / 04期
关键词：
Iwasawa invariants; Siegel function; computation;
D O I：
10.1080/10586458.2002.10504699
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let p be an odd prime number which splits into two distinct primes in an imaginary quadratic field K. Then K has certain kinds of noncyclotomic Z(p)-extensions which are constructed through ray class fields with respect to a prime ideal lying above p. We try to show that Iwasawa invariants p and A both vanish for these specfic noncyclotomic Z(p)-extensions.
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页码：469 / 475
页数：7
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