Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$

zbMath1425.11059arXiv1703.04950MaRDI QIDQ4972037

Nicholas Tzanakis, Gökhan Soydan

Publication date: 22 November 2019

Full work available at URL: https://arxiv.org/abs/1703.04950

zbMATH Keywords

exponential Diophantine equationlinear form in logarithmsLLL-reductionThue-Mahler equationlinear form in \(p\)-adic logarithms

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Algebraic number theory computations (11Y40) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)

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Uses Software

• Magma
• PARI/GP

Cites Work

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• P-adic logarithmic forms and group varieties III
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