Elif Kizildere Mutlu

collaborators

2 papers

math.NT2023

An elementary approach to the generalized Ramanujan-Nagell equation

Elif Kızıldere Mutlu, Maohua Le, Gökhan Soydan

Let $k$ be a fixed positive integer with $k > 1$ . In this paper, using various elementary methods in number theory, we give criteria under which the equation $x^{2} + (2 k - 1)^{y} = k^{z}$ has n…

math.NT2021

A modular approach to the generalized Ramanujan-Nagell equation

Elif Kızıldere Mutlu, Maohua Le, Gökhan Soydan

Let $k$ be a positive integer. In this paper, using the modular approach, we prove that if $k \equiv 0 (mod 4)$ , $30 < k < 724$ and $2 k - 1$ is an odd prime power, then under the GRH, t…