The number of solutions to y²=px(Ax²+2)

2015/04/08 by Garici, Tarek, Kihel, Omar, Larone, Jesse
#11B39 #11D25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1504.02005

Abstract

In this paper, we find a bound for the number of the positive solutions to the titled equation, improving a result of Togbé. As a consequence, we prove a conjecture of Togbé in a few cases.

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