A note on the ternary purely exponential Diophantine equation \(f^x + (f + g)^y = g^z\)

DOI10.21099/tkbjm/20234701113MaRDI QIDQ6144550

Maohua Le, Y. Fujita, Nobuhiro Terai

Publication date: 5 January 2024

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/tsukuba-journal-of-mathematics/volume-47/issue-1/A-NOTE-ON-THE-TERNARY-PURELY-EXPONENTIAL-DIOPHANTINE-EQUATION-fxfgygz/10.21099/tkbjm/20234701113.full

zbMATH Keywords

application of Baker's methodternary purely exponential Diophantine equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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• Linear forms in p-adic logarithms and the Diophantine equation formula here
• A Survey on the Ternary Purely Exponential Diophantine Equation $a^x + b^y = c^z$
• A study on the exponential Diophantine equation $a^x+(a+b)^y=b^z$
• An upper bound for the number of solutions of ternary purely exponential Diophantine equations II

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