Some Non-Extendable Special Dio 3-Tuples Involving Heptagonal Pyramidal Numbers
Explorations in Diophantine Equations,
11 November 2023
,
Page 37-49
https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH5
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.
Keywords:
- Special dio 3-tuples
- heptagonal pyramidal number
- diophantine triples
- triples
- perfect square
- pyramidal number
How to Cite
Saranya , C. ., Janaki , G. ., & Chitra , P. . (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