Manos Zafeiropoulos (Graz):
Inhomogeneous Diophantine Approximation on M_0 sets.

Abstract: We formulate and prove a Khintchine-type law on inhomogeneous Diophantine approximation, where the denominators lie in certain subsets of the positive integers. The size of the corresponding set of well approximable numbers is given by a  probability measure with sufficiently fast decaying Fourier coefficients.