On simultaneous approximations of two algebraic numbers by rationals

Wolfgang M. Schmidt

Source: Schmidt : On simultaneous approximations of two algebraic numbers by rationals

On simultaneous approximations of two algebraic numbers by rationals

Wolfgang M. Schmidt

Source: Schmidt : On simultaneous approximations of two algebraic numbers by rationals

Source: Roth’s theorem – Wikipedia

References

Davenport, H. and Roth, K. F. “Rational Approximations to Algebraic Numbers.” Mathematika 2, 160-167, 1955.

Roth, K. F. “Rational Approximations to Algebraic Numbers.” Mathematika 2, 1-20, 1955.

Roth, K. F. “Corrigendum to `Rational Approximations to Algebraic Numbers’.” Mathematika 2, 168, 1955.

Source: Roth’s Theorem

Rational approximations to algebraic numbers K. F. Roth

Source: Rational approximations to algebraic numbers | Mathematika | Cambridge Core

Diophantine approximation of linear forms over an algebraic number field

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Effective lower bounds for some linear formsAuthor: T. W. CusickJournal: Trans. Amer. Math. Soc. 222 (1976), 289-301MSC: Primary 10F35DOI: https://doi.org/10.1090/S0002-9947-1976-0422173-8MathSciNet review: 0422173