Description

Recently, in a joint paper with Fraczyk and Harcos, we managed to show that cylinders of the Minkowski space contain bases of number fields under the only assumption that their volume is large enough. It turns out that for real quadratic fields, our bound up to constant is optimal for general cylinders, but improvable for special ones. The goal of the research class is to investigate what happens for other simple special classes of number fields, e.g. totally real biquadratic or cubic fields.