On \(\theta\)-congruent numbers over real number fields

Authors

  • S. Das
  • A. Saikia

Keywords:

congruent number, elliptic curve

Abstract

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

Published

2021-03-10

Issue

Section

Articles