Metrical musings on Littlewood and friends

A. Haynes, Jonas Lindstrøm Jensen, Simon Kristensen

Publikation: Working paper/Preprint Working paperForskning

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Abstract

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.
OriginalsprogEngelsk
UdgiverDepartment of Mathematics, Aarhus University
Antal sider10
StatusUdgivet - 2012
NavnPreprints
Nummer4
ISSN1397-4076

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