ONIDEALCLASSGROUPSANDUNITSINTERMSOFTHEQUADRATICFORMx2+32y2

被引：1

作者：

Jurgen HURRELBRINK

机构：

[1] Department of Mathematics

[2] Louisiana State University

[3] Baton Rouge

[4] LA -

[5] USA

来源：

Chinese Annals of Mathematics | 2005年 / 02期

关键词：

Class group; R′edei Matrix; Fundamental unit;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

For quadratic number ?elds F = Q(√2p1 ···pt?1 ) with primes pj ≡ 1 mod 8, the authors study the class number and the norm of the fundamental unit of F. The resultsgeneralize nicely what has been familiar for the ?elds Q(√2p) with a prime p ≡ 1 mod 8, including density statements. And the results are stated in terms of the quadratic form x2 + 32y2 and illustrated in terms of graphs.

引用

页码：239 / 252

页数：14