“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

A result in number theory relating to the approximation of algebraic numbers by rational numbers. For an irrational algebraic number α and any ε>0, there are finitely many rationals p/q (in simplest form) such that

The theorem is false for ε=0 by Dirichlet's approximation theorem.

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