Comments on Le Maohua's 1999 paper in the Proc. Japan Acad

Mathematics – Number Theory

Scientific paper

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Scientific paper

Considering the equation $$a^x+b^y = c^z,$$ Le gives an upper bound on the
number of solutions $(x,y,z)$, and a bound on $z$. Here we give slight
improvements to these results, also removing the restriction that $a$, $b$, $c$
be squarefree.

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