Some Non-Extendable Special Dio 3-Tuples Involving Heptagonal Pyramidal Numbers

Authors

  • C. Saranya 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.
  • P. Chitra 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/CH5

Keywords:

Special dio 3-tuples, heptagonal pyramidal number, diophantine triples, triples, perfect square, pyramidal number

Abstract

In this chapter, we look for three particular polynomials with integer coefficients to such an extent that the product of any two numbers subtracted by a non-zero number (or polynomials with integer coefficients) is a perfect square. This chapter aims at constructing special dio 3-tuples where the product of any two members of the triple with the subtraction of a non-zero integer or a polynomial with integer coefficients satisfies the required property.

Published

2023-11-11

How to Cite

C. Saranya, G. Janaki, & P. Chitra. (2023). Some Non-Extendable Special Dio 3-Tuples Involving Heptagonal Pyramidal Numbers. Explorations in Diophantine Equations, 37–49. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH5

Issue

Explorations in Diophantine Equations

Section

Contents