Diophantine approximations with positive integers: some remarks

TL;DR

This paper discusses W.M. Schmidt's theorem on Diophantine approximations with positive integers and presents recent related findings, offering insights and remarks on the topic.

Contribution

It provides commentary on Schmidt's theorem and introduces new recent results in the area of Diophantine approximations with positive integers.

Findings

Comments on Schmidt's theorem

Presentation of recent results in the field

Insights into Diophantine approximation techniques

Abstract

We give some comments on W.M. Schmidt's theorem on Diophantine approximations with positive integers and our recent results on the topic.