论文标题
非常规高度函数的度量定理
Metrical theorems for unconventional height functions
论文作者
论文摘要
在本文中，我们考虑了通过合理点同时逼近实点的近似值，这些近似值的近似误差为“非标准”高度的功能。我们证明了Khintchine和Jarník-Besicovitch定理的类似物，从而回答了Fishman and Simmons（2017）提出的一些问题。
In this paper, we consider the simultaneous approximation of real points by rational points with the error of approximation given by the functions of `non-standard' heights. We prove analogues of Khintchine and Jarník-Besicovitch theorems for this setting, thus answering some questions raised by Fishman and Simmons (2017).
