Bursa Uludağ Üni̇versi̇tesi̇

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20072026

most citedObservation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV

919 citations

Showing 2020 · math.NTShow all

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math.NT2020

On the exponential Diophantine equation $(n - 1)^{x} + (n + 2)^{y} = n^{z}$

Hairong Bai, Elif Kızıldere, Gökhan Soydan +1

Suppose that $n$ is a positive integer. In this paper, we show that the exponential Diophantine equation $(n - 1)^{x} + (n + 2)^{y} = n^{z}, n \geq 2, x y z \neq = 0$ has only the positive i…

math.NT2020★ 10 cited

A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

Maohua Le, Gökhan Soydan

The generalized Lebesgue-Ramanujan-Nagell equation is an important type of polynomial-exponential Diophantine equation in number theory. In this survey, the recent results and some…

On the exponential Diophantine equation (n−1)x+(n+2)y=nz

A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

On the exponential Diophantine equation $(n - 1)^{x} + (n + 2)^{y} = n^{z}$