The inhomogeneous Sprindzhuk conjecture over a local field of positive characteristic

Abstract

We prove a strengthened version of the inhomogeneous Sprindzhuk conjecture in metric Diophantine approximation, over a local field of positive characteristic. The main tool is the transference principle of Beresnevich and Velani coupled with earlier work of the second named author who proved the standard, i.e. homogeneous version.

Minor revisions following referee report. Added a section with some open questions. This is the final version