A note on Kronecker's approximation theorem
Daria Maksimova
TL;DR
This paper enhances the quantitative bounds of Kronecker's approximation theorem, providing more precise estimates for how well real numbers can be approximated by rationals with specific properties.
Contribution
It offers an improved, more accurate version of the existing quantitative Kronecker's approximation theorem, refining previous bounds and estimates.
Findings
Enhanced approximation bounds for Kronecker's theorem
More precise quantitative estimates achieved
Improved understanding of rational approximations
Abstract
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematics and Applications