The number of solutions to $y^2=px(Ax^2+2)$
Number Theory
2015-04-09 v1
Abstract
In this paper, we find a bound for the number of the positive solutions to the titled equation, improving a result of Togb\'e. As a consequence, we prove a conjecture of Togb\'e in a few cases.
Cite
@article{arxiv.1504.02005,
title = {The number of solutions to $y^2=px(Ax^2+2)$},
author = {Tarek Garici and Omar Kihel and Jesse Larone},
journal= {arXiv preprint arXiv:1504.02005},
year = {2015}
}