2 papers
math.NT2005
A Khintchine type theorem for hyperplanes
Anish Ghosh
We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Klei…
math.NT2005
Metric Diophantine approximation over a local field of positive characteristic
Anish Ghosh
We estalish the conjectures of Sprindzhuk over a local field of positive characteristic using the dynamical method of Kleinbock-Margulis.