Fruit Diophantine Equation
History and Overview
2021-11-15 v2 Number Theory
Abstract
We show that the Diophantine equation given by X^3+ XYZ = Y^2+Z^2+5 has no integral solution. As a consequence, we show that the family of elliptic curve given by the Weierstrass equations Y^2-kXY = X^3 - (k^2+5) has no integral point.
Keywords
Cite
@article{arxiv.2108.02640,
title = {Fruit Diophantine Equation},
author = {Dipramit Majumdar and B. Sury},
journal= {arXiv preprint arXiv:2108.02640},
year = {2021}
}
Comments
3 pages, couple of typos fixed