| Autor: |
Haynes, A., Jensen, Jonas Lindstrøm, Kristensen, Simon |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
|
| Zdroj: |
Haynes, A, Jensen, J L & Kristensen, S 2012 ' Metrical musings on Littlewood and friends ' Department of Mathematics, Aarhus University . |
| Popis: |
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. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
