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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| Format: | Journal article |
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Foundation Compositio Mathematica
2019
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