Inhomogeneous Diophantine approximation over fields of formal power series

  • Yann Bugeaud
  • L. Singhal
  • Zhenliang Zhang

Abstract

We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series $\mathbb {F}_q((T^{-1}))$. Furthermore, we study the approximation to a given point $\underline {y}$ in $\mathbb {F}_q((T^{-1}))^2$ by the $\mathrm {SL}_2(\mathbb {F}_q[T])$-orbit of a given point $\underline {x}$ in $\mathbb {F}_q((T^{-1}))^2$.

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Published
2020-09-03
How to Cite
Bugeaud, Y., Singhal, L., & Zhang, Z. (2020). Inhomogeneous Diophantine approximation over fields of formal power series. MATHEMATICA SCANDINAVICA, 126(3), 451-478. https://doi.org/10.7146/math.scand.a-121462
Section
Articles