2 papers
math.NT2019
Inhomogeneous Diophantine approximation over fields of formal power series
Yann Bugeaud, L. Singhal, Zhenliang Zhang
We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series . Furthermore, we study the approximation to a give…
math.NT2019
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
Yann Bugeaud, Zhenliang Zhang
We prove over fields of power series the analogues of several Diophantine approximation results obtained over the field of real numbers. In particular we establish the power series…