## Bohr sets and multiplicative Diophantine approximation

*Chow, Sam*;

- Publisher: Duke University Press
- Journal: issn: 0012-7094
Related identifiers: - Subject: Mathematics - Combinatorics | 11J20 | 11H06 | metric Diophantine approximation | geometry of numbers | 52C05 | 11J83, 11J20, 11H06, 52C05 | additive combinatorics | Mathematics - Number Theory | 11J83arxiv: Mathematics::Number Theory

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 fibre version of Gallagher's theorem, sharpening and making unconditional a result recently obtained conditi... View more

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