THE NUMBER OF BOUNDED SOLUTIONS OF NORM-FORM EQUATIONS VIA PELL EQUATIONS AND AMBIGUOUS CLASSES OF SOLUTIONS

被引：0

作者：

Mollin, R. A. ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2008年 / 10卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Pell's equation; norm-form equations; quadratic extensions; classes of solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find the number of solutions of norm-form equations x(2) - Dy-2 = c for positive non-square integers D, which are less than a certain bound related to Pell's equations x(2) - Dy-2 = +/- 1 and based upon the ambiguous classes of solutions to the norm-form. This generalizes recent results in the literature.

引用

页码：237 / 246

页数：10