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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.
math.NT2005★ 4 cited
Measure rigidity and -adic Littlewood-type problems
Manfred Einsiedler, Dmitry Kleinbock
The paper investigates various -adic versions of Littlewood's conjecture, generalizing a set-up considered recently by de Mathan and Teulie. In many cases it is shown that the s…