Ternary quadratic forms over number fields with small class number

被引：4

作者：

Kirschmer, Markus ^{[1
]}

Lorch, David ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math B, D-52062 Aachen, Germany

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 161卷

关键词：

Quadratic form; Genus; Class number; Quaternion order; ONE-CLASS GENERA; QUATERNION ORDERS; LATTICES; DISCRIMINANT; ENUMERATION; ALGEBRAS; RINGS; BASE;

D O I：

10.1016/j.jnt.2014.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields Finally, we list all definite quaternion orders of ideal class number 1 or 2. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：343 / 361

页数：19

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