A simple proof of the Markoff conjecture for prime powers

Mathematics – Number Theory

Scientific paper

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5 pages, no figures

Scientific paper

10.1007/s10711-007-9189-x

We give a simple and independent proof of the result of Jack Button and Paul
Schmutz that the Markoff conjecture on the uniqueness of the Markoff triples
(a,b,c), where a, b, and c are in increasing order, holds whenever $c$ is a
prime power.

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