“Roth's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Roth's Theorem

释义

Roth's Theorem

For Algebraic

with

, has finitely many solutions. Klaus Roth received a Fields Medal for this result.

See also Hurwitz Equation, Hurwitz's Irrational Number Theorem, Lagrange Number (Rational Approximation),Liouville's Rational Approximation Theorem, Liouville-Roth Constant, Markov Number, Segre'sTheorem, Thue-Siegel-Roth Theorem

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.

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