# Simon Kristensen

## Metrical musings on Littlewood and friends

Research output: Working paperResearch

### Standard

Department of Mathematics, Aarhus University, 2012.

Research output: Working paperResearch

### 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 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 -