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Inhomogeneous Diophantine approximation over fields of formal power series

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 نشر من قبل L. Singhal
 تاريخ النشر 2019
  مجال البحث
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We prove a sharp analogue of Minkowskis 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 $SL_2(mathbb{F}_q[T])$-orbit of a given point $underline{x}$ in $mathbb{F}_q((T^{-1}))^2$.

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