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Freiman's Constant

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Freiman's constant is the endpoint of the last gap in the Lagrange spectrum, given by

F=(2221564096+283748sqrt(462))/(491993569)=4.5278295661...

(OEIS A118472).

Real numbers greater than or equal to F are members of the Markov spectrum (Moreira 2018, p. 147).

See also

Lagrange Spectrum, Markov Spectrum

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References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 188-189, 1996.Moreira, C. G. "Geometric Properties of the Markov and Lagrange Spectra." Ann. Math. 188, 145-170, 2018. https://doi.org/10.4007/annals.2018.188.1.3.Sloane, N. J. A. Sequence A118472 in "The On-Line Encyclopedia of Integer Sequences."

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Freiman's Constant

Cite this as:

Weisstein, Eric W. "Freiman's Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FreimansConstant.html

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