DETECTION OF RELATIVELY PRIME INTEGER SOLUTIONS FOR TWO DISPARATE FORMS OF MORDELL CURVES
By
V. Pandichelvi and S. Saranya
Postgraduate & Research Department of Mathematics
Urumu Dhanalakshmi College, Tamilnadu, India-620019
(Aliated to Bharathidasan University)
Email: mvpmahesh2017@gmail.com, srsaranya1995@gmail.coml
(Received: December 02, 2021; In format: March 08, 2022; Revised : March 26, 2022; Accepted April 04, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53109
Abstract
In this paper, two unrelated natures of Mordell curves y³ = x² + k where k is a multinomial of degree four and six are scrutinized for many sets of relatively prime integer solutions. The geometrical description of the curves for each set of solutions are also exhibited with an assistance of MATLAB tools.
2020 Mathematical Sciences Classification: Primary 11; Secondary D25.
Keywords and Phrases: Mordell equation, relatively prime, integer solutions.