Bohr sets and multiplicative Diophantine approximation

In two dimensions, Gallagher’s theorem is a strengthening of the Littlewood conjecture that holds for almost all pairs of real numbers. We prove an inhomogeneous fiber version of Gallagher’s theorem, sharpening and making unconditional a result recently obtained conditionally by Beresnevich, Haynes,...

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Bibliographic Details
Main Author: Chow, S
Format: Journal article
Published: Duke University Press 2018