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On Generalized Lebesgue-Ramanujan-Nagell Equations

Attila Bérczes

Bérczes, Attila

and

Dec 10, 2014

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Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 1 (March 2014)

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Published Online: Dec 10, 2014

Page range: 51 - 71

Received: Jan 01, 2014

Accepted: Feb 01, 2014

DOI: https://doi.org/10.2478/auom-2014-0006

Keywords
Generalized Lebesgue-Ramanujan-Nagell equations, Primitive divisor theorem

© 2014 Attila Bérczes and István Pink

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We give a brief survey on some classical and recent results concerning the generalized Lebesgue-Ramanujan-Nagell equation. Moreover, we solve completely the equation x² + 11^a 17^b = yⁿ in nonnegative integer unknowns with n ≧ 3 and gcd(x, y) = 1.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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