Littlewood and Duffin-Schaeffer-Type Problems in Diophantine Approximation
Sam Chow & Niclas Technau
Littlewood and Duffin-Schaeffer-Type Problems in Diophantine Approximation
Sam Chow & Niclas Technau
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Omschrijving
Gallagher’s theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallagher’s theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville fibres.
Sam Chow, University of Warwick, Coventry, United Kingdom, and Niclas Technau, Max Planck Institute for Mathematics, Bonn, Germany.
Sam Chow, University of Warwick, Coventry, United Kingdom, and Niclas Technau, Max Planck Institute for Mathematics, Bonn, Germany.