Wirsing-type不等式
Wirsing-type inequalities
摘要:
Wirsing关于用有界次数的代数数逼近代数数的定理是Roth关于丢番图逼近的定理的推广。我们研究的变化Wirsing定理的不等式中的定理是加强,但不包括一个特定的容易描述的特殊集合的近似代数点。
英文摘要:
Wirsing's theorem on approximating algebraic numbers by algebraic numbers of bounded degree is a generalization of Roth's theorem in Diophantine approximation. We study variations of Wirsing's theorem where the inequality in the theorem is strengthened, but one excludes a certain easily-described special set of approximating algebraic points.
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