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单词 Roth’s Theorem
释义
Roth’s Theorem

Mathematics
  • 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

    |αpq|<1q2+ε.

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


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