A note on weighted simultaneous Diophantine approximation on manifolds
Demi Allen, Baowei Wang
TL;DR
This paper improves a recent result on weighted simultaneous Diophantine approximation on manifolds, enhancing understanding of approximation properties in this mathematical context.
Contribution
It provides an improved theorem or bound related to weighted Diophantine approximation on manifolds, advancing prior research in the field.
Findings
Enhanced approximation bounds on manifolds
Refined conditions for weighted approximation
Improved theoretical understanding of Diophantine properties
Abstract
In this note, we present an improvement to a recent result due to Beresnevich, Levesley, and Ward (2021) pertaining to weighted simultaneous Diophantine approximation on manifolds.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Algebraic Geometry and Number Theory · Advanced Mathematical Theories and Applications