论文标题

某些类型的P-ADIC DUFFIN- SCHAEFFER套件可获得的措施

Attainable measures for certain types of p-adic Duffin--Schaeffer sets

论文作者

Laursen, Mathias Løkkegaard

论文摘要

本文解决了有关$ p $ -ADIC HAAR措施的最新猜想,该措施适用于根据Diophantine近似定义的一组。这是通过确定每个家庭的度量值的频谱来完成的,并看到这与相应的猜想相矛盾。

This paper settles recent conjectures concerning the $p$-adic Haar measure applied to a family of sets defined in terms of Diophantine approximation. This is done by determining the spectrum of measure values for each family and seeing that this contradicts the corresponding conjectures.

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