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Showing 2004 · math.NTShow all
3 papers · 2 filters
math.NT2004★ 1 cited
Diophantine approximation and badly approximable sets
Simon Kristensen, Rebecca Thorn, Sanju Velani
Let (X,d) be a metric space and (Ω, d) a compact subspace of X which supports a non-atomic finite measure m. We consider `natural' classes of badly approximable subsets of Ω. Loose…
math.NT2004
A quantitative Khintchine-Groshev type theorem over a field of formal series
M. M. Dodson, S. Kristensen, J. Levesley
An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<ψ(|q|), where A is an n by m matrix (m>1) over th…
math.NT2004
A metric theorem for restricted Diophantine approximation in positive characteristic
Simon Kristensen
We calculate the measure and Hausdorff dimension of sets of matrices over fields of formal power series with good approximation properties for a restricted set of denominators.