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### Bibtex

@techreport{f428714a5ee04630b35f38560eaf6c9c,

title = "Metrical musings on Littlewood and friends",

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 Teuli{\'e} 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.",

author = "A. Haynes and Jensen, {Jonas Lindstr{\o}m} and Simon Kristensen",

year = "2012",

language = "English",

publisher = "Department of Mathematics, Aarhus University",

type = "WorkingPaper",

institution = "Department of Mathematics, Aarhus University",

}

### RIS

TY - UNPB

T1 - Metrical musings on Littlewood and friends

AU - Haynes, A.

AU - Jensen, Jonas Lindstrøm

AU - Kristensen, Simon

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

M3 - Working paper

BT - Metrical musings on Littlewood and friends

PB - Department of Mathematics, Aarhus University

ER -