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Metrical musings on Littlewood and friends

Research output: Working paper/Preprint Working paperResearch


  • A. Haynes, Department of Mathematics, University of Bristol, United Kingdom
  • Jonas Lindstrøm Jensen, Denmark
  • Simon Kristensen
We prove a metrical result on a family of conjectures related to the Littlewood conjecture, namely the original Littlewood conjecture, the mixed Littlewood conjecture of de Mathan and Teulié and a hybrid between a conjecture of Cassels and the Littlewood conjecture. It is shown that the set of numbers satisfying a strong version of all of these conjectures is large in the sense of Hausdorff dimension restricted to the set of badly approximable numbers.
Original languageEnglish
PublisherDepartment of Mathematics, Aarhus University
Number of pages10
Publication statusPublished - 2012

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