Represented value sets for integral binary quadratic forms and lattices

被引：5

作者：

Earnest, A. G. ^{[1
]}

Fitzgerald, Robert W. ^{[1
]}

机构：

[1] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 12期

关键词：

D O I：

10.1090/S0002-9939-07-08895-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A characterization is given for the integral binary quadratic forms for which the set of represented values is closed under products. It is also proved that for an integral binary quadratic lattice over a Dedekind domain, the product of three values represented by the form is again a value represented by the form. This generalizes the trigroup property observed by V. Arnold in the case of integral binary quadratic forms.

引用

页码：3765 / 3770

页数：6