ACQUIRING HALF COMPANION SEQUENCES OF DIOPHANTINE TRIPLES INCLUSIVE OF GNOMONIC NUMBERS
By
C. Saranya
PG and Research Department of Mathematics, Cauvery College for Women
(Autonomous) (Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India-620018
Email: c.saranyavinoth@gmail.com, saranyac.maths@cauverycollege.ac.in
(Received: June 12, 2023; In format: July 07, 2023; Revised: December 08, 2025; Accepted: December 10, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55219
Abstract
This paper aims at accomplishing half companion sequence of Diophantine triples featuring Gnomonic numbers such that the product of any two terms of the half companion sequence of the Diophantine triple and combined by an integer or a polynomial with integer coefficients results in a perfect square.
2020 Mathematical Sciences Classification: 11D99
Keywords and Phrases: Triples, Diophantine Triples, Gnomonic numbers, Half-companion sequence and Sequences of integers.