Bohr sets and multiplicative diophantine approximation

Preprint, Other literature type English OPEN
Chow, Sam; (2017)
  • Publisher: Duke University Press
  • Journal: issn: 0012-7094
  • Related identifiers: doi: 10.1215/00127094-2018-0001
  • Subject: 11J20 | Mathematics - Combinatorics | 11H06 | metric Diophantine approximation | geometry of numbers | 52C05 | additive combinatorics | 11J83, 11J20, 11H06, 52C05 | Mathematics - Number Theory | 11J83
    arxiv: 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 fiber version of Gallagher’s theorem, sharpening and making unconditional a result recently obtained conditi... View more
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