Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2024
  • Volume: 16
  • Issue: 1

On the Ternary Quadratic Diophantine Equation 19(x2 + y2) − 37xy = 100z2

1Associate Professor, PG and Research and Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India

2Assistant Professor, PG and Research and Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India

*E-mail ID: janaki.maths@cauverycollege.ac.in

**psangeetha.maths@cauverycollege.ac.in

Online Published on 19 June, 2024.

Abstract

We have examined the non-zero unique integer solutions of the ternary quadratic Diophantine problem. There are four distinct patterns of integer solutions. Likewise, a few charming connections between the arrangements and a couple of interesting number examples that are shown.

Keywords

Ternary quadratic equation, Integral Solutions