Kurzweil type metrical Diophantine properties in the field of formal Laurent series

In this article, we consider Diophantine properties of the orbit of irrational rotations over the field of formal Laurent series Fq((X−1))Fq((X−1)). More precisely, for a given f∈Fq((X−1))f∈Fq((X−1)) and a sequence (rn)(rn), we investigate the size of the set {g∈Fq((X−1)):mindegQ=n|{Qf}−g|