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math.NT2021
A modular approach to the generalized Ramanujan-Nagell equation
Elif Kızıldere Mutlu, Maohua Le, Gökhan Soydan
Let be a positive integer. In this paper, using the modular approach, we prove that if , and is an odd prime power, then under the GRH, t…
math.NT2021
On the power values of the sum of three squares in arithmetic progression
Maohua Le, Gökhan Soydan
In this paper, using a deep result on the existence of primitive divisors of Lehmer numbers due to Y. Bilu, G. Hanrot and P. M. Voutier, we first give an explicit formula for all p…