An upper bound for solutions of the Lebesgue-Nagell equation \(x^2+a^2=y^n\)

DOI10.1186/s13660-016-1154-5zbMath1357.11040OpenAlexW2510310209WikidataQ59466485 ScholiaQ59466485MaRDI QIDQ313554

Xiaowei Pan

Publication date: 12 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1154-5

zbMATH Keywords

exponential Diophantine equationBaker's methodLebesgue-Nagell equationupper bound for solutions

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Cites Work

• On the Diophantine equation \(x^ 2+a^ 2=2y^ p\).
• Linear forms in two logarithms and interpolation determinants
• Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation
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