论文标题
vaaler的定理数字字段
Vaaler's theorem in number fields
论文作者
论文摘要
在双苯胺近似中，Vaaler的定理是达芬（Duffin）的重要结果 - schaeffer的猜想，该猜想已经开放了将近八十年，直到最近被Koukoulopoulos和Maynard证明它。以前证明，此结果的一个版本也可以在虚构的二次字段中保存：在本文中，我们在一般数字字段中建立了Vaaleer定理的版本。
In Diophantine approximation, Vaaler's theorem was an important partial result towards the Duffin--Schaeffer conjecture, which was open for almost eighty years before it was recently proven by Koukoulopoulos and Maynard. A version of this result was previously proven to also hold in imaginary quadratic fields: in this paper, we establish a version of Vaaler's theorem in general number fields.
