A transference inequality for rational approximation to points in geometric progression
J\'er\'emy Champagne, Damien Roy
TL;DR
This paper proves a transference inequality related to how well points in geometric progression can be approximated by rationals, confirming a conjecture by Badziahin and Bugeaud.
Contribution
It establishes a new transference inequality for rational approximation exponents of geometric progression points, confirming a conjecture.
Findings
Proves a conjectured transference inequality
Relates exponents of rational approximation in geometric progression
Advances understanding of Diophantine approximation for special sequences
Abstract
We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.
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