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- W3092682614 abstract "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. Along the way, we prove an inhomogeneous version of the Duffin--Schaeffer conjecture for a class of non-monotonic approximation functions." @default.
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- W3092682614 date "2020-10-18" @default.
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- W3092682614 title "Littlewood and Duffin--Schaeffer-type problems in diophantine approximation" @default.
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- W3092682614 doi "https://doi.org/10.48550/arxiv.2010.09069" @default.
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