CREATION OF SEQUENCES OF SINGULAR 3-TUPLES THROUGH ABEL AND CYCLOTOMIC POLYNOMIAL WITH COMMENSURABLE PROPERTY
By
R. Vanaja1 and V. Pandichelvi2
1Department of Mathematics, AIMAN College of Arts & Science for Women, Tiruchirappalli, Tamil Nadu,
India-620021
(Aliated to Bharathidasan University)
2Post Graduate & Research Department of Mathematics, Urumu Dhanalakshmi College, Tiruchirappalli,
Tamil Nadu, India-620019
(Aliated to Bharathidasan University)
Email: vanajvicky09@gmail.com, mvpmahesh2017@gmail.com
(Received: June 06, 2022, In format: July 28, 2022; Revised: August 24, 2022; Accepted: April 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53112
Abstract
In this paper, the sequence of 3-tuples named as singular 3-tuples {f (x), g(x), h(x)}, {g(x), h(x), i(x)} etc. concerning Abel’s polynomial and Cyclotomic polynomial such that the arithmetic mean of any two polynomials increased by a monomial with integer coefficients provides square of a particular polynomial is enumerated. Furthermore, Python program for conformation of each of an evaluated singular 3-tuples is also exemplified.
2020 Mathematical Sciences Classification: 11B83
Keywords and Phrases: Singular 3-tuples, Abel’s polynomial, Cyclotomic polynomial.