Badly approximablep-adic integers |
| |
| Authors: | A G Abercrombie |
| |
| Institution: | 1. Department of Pure Mathematics, University of Liverpool, P.O. Box 147, L693BX, Liverpool, UK
|
| |
| Abstract: | It is known that thep-adic integers that are badly approximable by rationals form a null set with respect to Haar measure. We define a 0,1]-valued dimension function on thep-adic integers analogous to Hausdorff dimension inR and show that with respect to this function the dimension of the set of badly approximablep-adic integers is 1. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
