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A Khintchine type theorem for hyperplanes

Research paper by Anish Ghosh

Indexed on: 24 Aug '05Published on: 24 Aug '05Published in: Mathematics - Number Theory



Abstract

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 Kleinbock-Margulis.