A Khintchine type theorem for hyperplanes

Research paper by Anish Ghosh

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


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.