Higher-rank Bohr sets and multiplicative diophantine approximation

Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost all tuples of real numbers. We provide a fibre refinement, solving a problem posed by Beresnevich, Haynes and Velani in 2015. Hitherto, this was only known on the plane, as previous approaches relied...

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Detalhes bibliográficos
Main Authors: Chow, S, Technau, N
Formato: Journal article
Publicado em: Foundation Compositio Mathematica 2019