J. Levesley

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math.NT2009★ 2 cited

The Metrical Theory of Simultaneously Small Linear Forms

Mumtaz Hussain, Jason Levesley

In this paper we investigate the metrical theory of Diophantine approximation associated with linear forms that are simultaneously small for infinitely many integer vectors; i.e. f…

math.NT2005

On a problem of K. Mahler: Diophantine approximation and Cantor sets

Jason Levesley, Cem Salp, Sanju Velani

Let $K$ denote the middle third Cantor set and $A := {3^{n} : n = 0, 1, 2, > ...}$ . Given a real, positive function $ψ$ let $W_{A} (ψ)$ denote the set of real numbers $x$ …