Lower bounds on the two-sided inhomogeneous approximation constant
Chris Pinner
TL;DR
This paper establishes lower bounds for the worst-case scenario in two-sided inhomogeneous approximation, advancing understanding of approximation limits in number theory.
Contribution
It provides new lower bounds specifically for the worst inhomogeneous approximation case, which was previously less understood.
Findings
Derived explicit lower bounds for inhomogeneous approximation constants
Enhanced theoretical understanding of approximation limits
Contributes to the field of Diophantine approximation
Abstract
We give lower bounds on the case of worst inhomogeneous approximation.
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Taxonomy
TopicsMathematical Approximation and Integration · Matrix Theory and Algorithms · Mathematical functions and polynomials