Abstract
In this paper, we give an upper bound for the solutions x, y, z of the equation in the title, of magnitude \(\left( \log \max \{a, b, c\}\right) ^{2 + \epsilon }\). This yields an improvement of earlier results of Hu and Le, where the bound is cubic in \(\log \max \{a, b, c\}\).
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References
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Subburam, S. On the diophantine equation \(la^x + mb^y = nc^z\). Res. number theory 4, 25 (2018). https://doi.org/10.1007/s40993-018-0118-x
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DOI: https://doi.org/10.1007/s40993-018-0118-x