Sanju Velani

collaborators

2 papers

math.NT2005

Schmidt's theorem, Hausdorff measures and Slicing

Victor Beresnevich, Sanju Velani

A Hausdorff measure version of W.M. Schmidt's inhomogeneous, linear forms theorem in metric number theory is established. The key ingredient is a `slicing' technique motivated by a…

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 $x$ …