An equivalent condition for the Markov triples and the Diophantine equation $a^2+b^2+c^2=abcf(a,b,c)$

Autor:	Shibukawa, Genki
Rok vydání:	2020
Předmět:	Mathematics - Number Theory 11D25 11F20
Druh dokumentu:	Working Paper
Popis:	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 $a^2+b^2+c^2=abcf(a,b,c)$. Comment: 3 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.04061 Zobrazit plný text záznamu View this record from Arxiv