Markoff-Rosenberger triples with Fibonacci components / Szabolcs Tengely.
Sažetak

We characterize the solutions of the Markoff-Rosenberger equation a x 2 + b y 2 + c z 2 = d x y z with a,b,c,d ∈ ℤ, gcd(a,b)=gcd(a,c)=gcd(b,c)=1 and a,b,c | d, for which (x,y,z)=(Fi,Fj,Fk), where Fn denotes the n-th Fibonacci number for any integer n≥ 0.