An equivalent condition for the Markov triples and the Diophantine equation $a^2+b^2+c^2=abcf(a,b,c)$
Number Theory
2020-08-11 v1
Abstract
We propose an equivalent condition for the Markov triples, which was mentioned by H. Rademacher essentially. As an application, we study the solvability of the Diophantine equation .
Cite
@article{arxiv.2008.04061,
title = {An equivalent condition for the Markov triples and the Diophantine equation $a^2+b^2+c^2=abcf(a,b,c)$},
author = {Genki Shibukawa},
journal= {arXiv preprint arXiv:2008.04061},
year = {2020}
}
Comments
3 pages