Lagrange Spectrum

A spectrum formed by the Lagrange numbers. The only ones less than three are the Lagrange numbers, but the last gaps end at Freiman's constant. Real numbers larger than Freiman's constant are in the Markov spectrum.

See also

Freiman's Constant, Lagrange Number, Markov Spectrum, Spectrum Sequence

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Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 187-189, 1996.Cusick, T. W. and Flahive, M. E. The Markov and Lagrange Spectra. Providence, RI: Amer. Math. Soc., 1989.

Referenced on Wolfram|Alpha

Lagrange Spectrum

Cite this as:

Weisstein, Eric W. "Lagrange Spectrum." From MathWorld--A Wolfram Web Resource.

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