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math.NT2024
The Duffin-Schaeffer conjecture with a moving target
Manuel Hauke, Felipe A. Ramirez
We prove the inhomogeneous generalization of the Duffin-Schaeffer conjecture in dimension . That is, given and $ψ:\mathbb{N}\to\mathbb{R}_{\g…
math.NT2024
Metric bootstraps for limsup sets
Felipe A. Ramirez
In metric Diophantine approximation, one frequently encounters the problem of showing that a limsup set has positive or full measure. Often it is a set of points in -dimensional…