Work

The Primitive-Solutions of Diophantine Equation x^2+pqy^2=z^2, for primes p,q

Year: 2022

Type: article

Abstract: In this paper, we determine the primitive solutions of diophantine equations x^2+pqy^2=z^2, for positive integers x, y, z, and primes p,q. This work is based on the development of the previous results, namely using the solutions of the Diophantine equation x^2+y^2=z^2, and looking at characteristics of the solutions of the Diophantine equation x^2+3y^2=z^2 and x^2+9y^2=z^2.

Source: Jurnal Matematika Statistika dan Komputasi

DOI: 10.20956/j.v18i2.19018

Author: Aswad Hariri Mangalaeng

Institution: Hasanuddin University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4205172180

FWCI: 0.343

Cites: 3

Cited by: 1

Related to: 10