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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.GT2005
Ultrametric Logarithm Laws I
Jayadev S. Athreya, Anish Ghosh, Amritanshu Prasad
We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-…