Simon Kristensen

Metrical musings on Littlewood and friends

Research output: ResearchWorking paper

Standard

Metrical musings on Littlewood and friends. / Haynes, A.; Jensen, Jonas Lindstrøm; Kristensen, Simon.

Department of Mathematics, Aarhus University, 2012.

Research output: ResearchWorking paper

Harvard

Haynes, A, Jensen, JL & Kristensen, S 2012 'Metrical musings on Littlewood and friends' Department of Mathematics, Aarhus University.

APA

Haynes, A., Jensen, J. L., & Kristensen, S. (2012). Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University. Preprints, No. 4

CBE

Haynes A, Jensen JL, Kristensen S. 2012. Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University.

MLA

Haynes, A., Jonas Lindstrøm Jensen, and Simon Kristensen Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University. (Preprints; Journal number 4). 2012., 10 p.

Vancouver

Haynes A, Jensen JL, Kristensen S. Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University. 2012.

Author

Haynes, A. ; Jensen, Jonas Lindstrøm ; Kristensen, Simon. / Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University, 2012. (Preprints; No. 4).

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 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.",
author = "A. Haynes and Jensen, {Jonas Lindstrøm} and Simon Kristensen",
year = "2012",
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 -