ON θ-CONGRUENT NUMBERS OVER REAL NUMBER FIELDS

被引：0

作者：

Das, Shamik ^{[1
]}

Saikia, Anupam ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 02期

关键词：

congruent number; elliptic curve;

D O I：

10.1017/S0004972720000672

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of theta-congruent numbers is a generalisation of congruent numbers where one considers triangles with an angle theta such that cos theta is a rational number. In this paper we discuss a criterion for a natural number to be theta-congruent over certain real number fields.

引用

页码：218 / 229

页数：12

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