An Analysis on the Ternary Quadratic Diophantine Equation r\(^2\) + t\(^2\) = 10w\(^2\)

Authors

  • G. Janaki PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • S. Shanmuga Priya PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH1

Keywords:

Diophantine equation, integral solutions, ternary quadratic equation with three unknowns

Abstract

In this work, our main focus is on tracing all the non-zero, infinitely many integral solutions to the ternary quadratic equation\(\mathit{r}^2\) + \(\mathit{r}^2\) = 10\(\mathit{w}^2\). Of these solutions, some dazzling patterns are shown.

Published

2023-11-11

How to Cite

G. Janaki, & S. Shanmuga Priya. (2023). An Analysis on the Ternary Quadratic Diophantine Equation r\(^2\) + t\(^2\) = 10w\(^2\). Explorations in Diophantine Equations, 2–12. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH1

Issue

Explorations in Diophantine Equations

Section

Contents