Hurwitz equation

Given a length k and a multiplier m, a Hurwitz equationMathworldPlanetmath for a set of integers x1,x2,,xk states that


There is no solution to the equation if m>k. Solutions can sometimes be found for mk by starting from a k-long set of 1s. The Markov equation for the Markov numbersMathworldPlanetmath has k=m=3.


  • 1 R. K. Guy, Unsolved Problems in Number TheoryMathworldPlanetmathPlanetmath New York: Springer-Verlag 2004: D12
Title Hurwitz equation
Canonical name HurwitzEquation
Date of creation 2013-03-22 17:26:13
Last modified on 2013-03-22 17:26:13
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11J06
Classification msc 11D72