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Hurwitz Equation

The Diophantine equation

x_1^2+x_2^2+...+x_n^2=ax_1x_2...x_n

which has no integer solutions for a>n.

See also

Lagrange Number

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References

Guy, R. K. "Markoff Numbers." §D12 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 166-168, 1994.

Referenced on Wolfram|Alpha

Hurwitz Equation

Cite this as:

Weisstein, Eric W. "Hurwitz Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HurwitzEquation.html

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