Inhomogeneous Diophantine approximation over fields of formal power series

• Yann Bugeaud ^[1] ; L. Singhal ^[2] ; Zhenliang Zhang ^[3]
  1. [1] University of Strasbourg

     University of Strasbourg

     Arrondissement de Strasbourg-Ville, Francia

     
  2. [2] Tsinghua University

     Tsinghua University

     China

     
  3. [3] School of Mathematical Sciences Henan institute of science and technology (China)

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• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 451-478
• Idioma: inglés
• DOI: 10.7146/math.scand.a-121462
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series Fq((T−1)). Furthermore, we study the approximation to a given point y– in Fq((T−1))2 by the SL2(Fq[T])-orbit of a given point x–– in Fq((T−1))2.