Non-Extendability of Diophantine Triples Comprising Centered Square Numbers

Authors

  • C. Saranya Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, Taminadu, India.
  • G. Janaki Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli, Taminadu, India.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v2/13037D

Keywords:

Triples, diophantine triples, perfect square, centered square numbers, non-extendability

Abstract

In this chapter, three non-extendable Diophantine triples comprises of centered square numbers such that the product of any two members and increased by a non-zero integer or a polynomial with integer co-efficient is a perfect square are exhibited. More precisely, three non-extendable Diophantine triples of the form {a, b, 2(a+b-Square of the difference of the ranks)} involving centered square numbers with property  D(-Square of the difference of the ranks) .

Published

2021-10-27

How to Cite

C. Saranya, & G. Janaki. (2021). Non-Extendability of Diophantine Triples Comprising Centered Square Numbers. Recent Advances in Mathematical Research and Computer Science Vol. 2, 91–98. https://doi.org/10.9734/bpi/ramrcs/v2/13037D

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 2

Section

Chapters