On the equation $ab(ab-1)-na=\Delta^2$
Number Theory
2020-01-03 v1
Abstract
Let be a positive integer. We study the diophantine equation , where are positive integers. We also show that if a system of two congruences is soluble, then an equation which is a translation of Erd\H{o}s-Straus conjecture is soluble.
Keywords
Cite
@article{arxiv.2001.00475,
title = {On the equation $ab(ab-1)-na=\Delta^2$},
author = {Sadegh Nazardonyavi},
journal= {arXiv preprint arXiv:2001.00475},
year = {2020}
}