Non-Extendability of Special Diophantine Triples Involving Octagonal Numbers

Authors

  • R. Radha PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • G. Janaki PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • M. Madhumika 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/CH7

Keywords:

Triples, Diophantine triples, Dio 3-tuples, special Diophantine triples, Octagonal number

Abstract

We search for three distinct polynomials with integer coefficients such that the product of any two numbers of the set subtracted with their sum increased by a non-zero integer is a perfect square.

Published

2023-11-11

How to Cite

R. Radha, G. Janaki, & M. Madhumika. (2023). Non-Extendability of Special Diophantine Triples Involving Octagonal Numbers. Explorations in Diophantine Equations, 57–67. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH7

Issue

Explorations in Diophantine Equations

Section

Contents