Bugeaud, Y., Dodson, M.M. and Kristensen, S. (2005) Zero-infinity laws in Diophantine approximation. The Quarterly Journal of Mathematics, 56 (3). pp. 311-320. ISSN 1464-3847
It is shown that for any translation invariant outer measure M, the M-measure of the intersection of any subset of Rn that is invariant under rational translations and which does not have full Lebesgue measure with the closure of an open set of positive measure cannot be positive and finite. Analogues for p-adic fields and fields of formal power series over a finite field are established. The results are applied to some problems in metric Diophantine approximation.
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||York RAE Import|
|Date Deposited:||11 Feb 2009 10:16|
|Last Modified:||11 Feb 2009 10:16|
|Publisher:||Oxford University Press|