Special Dio 3-Tuples Involving Octagonal 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.
  • R. Janani 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/CH8

Keywords:

Triples, Diophantine triples, special dio 3-tuples, octagonal pyramidal number, perfect square, pyramidal number

Abstract

This chapter tries to build special Dio 3-tuples that satisfy the property that the product of any two of the triple's members subtracted by a non-zero integer or a polynomial with integer coefficients is a perfect square. The special Dio 3-tuples from octagonal pyramidal numbers of various ranks are also presented in each of the three parts along with the relevant features.

Published

2023-11-11

How to Cite

C. Saranya, G. Janaki, & R. Janani. (2023). Special Dio 3-Tuples Involving Octagonal Pyramidal Numbers. Explorations in Diophantine Equations, 68–75. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH8

Issue

Explorations in Diophantine Equations

Section

Contents