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

zbMath1482.11054arXiv2001.09617MaRDI QIDQ5153736

Maohua Le, Gökhan Soydan

Publication date: 30 September 2021

Full work available at URL: https://arxiv.org/abs/2001.09617

zbMATH Keywords

polynomial-exponential Diophantine equationgeneralized Lebesgue-Ramanujan-Nagell equation

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Exponential Diophantine equations (11D61)

Related Items (12)

Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\) ⋮ On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\) ⋮ On the generalized Ramanujan-Nagell equation \(x^2+(3m^2+1)=(4m^2+1)^n\) ⋮ Differences between perfect powers: The Lebesgue-Nagell equation ⋮ A modular approach to the generalized Ramanujan-Nagell equation ⋮ A note on the Lebesgue-Ljunggren-Nagell equation \(ax^2+b^{2m}=4y^n\) ⋮ A note on the solution to the generalized Ramanujan-Nagell equation \(x^2+(4c)^y=(c+1)^z\) ⋮ On the diophantine equation $x^2+2^a3^b73^c=y^n $ ⋮ Reverse engineered Diophantine equations ⋮ A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations ⋮ A note on Terai's conjecture concerning primitive Pythagorean triples ⋮ SOLUTIONS TO A LEBESGUE–NAGELL EQUATION

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