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Dirichlet's Theorem in Function Fields

  Published:2016-07-29
 Printed: Jun 2017
  • Arijit Ganguly,
    School of Mathematics, Tata Institute of Fundamental Research, Mumbai, 400005, India
  • Anish Ghosh,
    School of Mathematics, Tata Institute of Fundamental Research, Mumbai, 400005, India
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Abstract

We study metric Diophantine approximation for function fields specifically the problem of improving Dirichlet's theorem in Diophantine approximation.
Keywords: Dirichlet's theorem, Diophantine approximation, positive characteristic Dirichlet's theorem, Diophantine approximation, positive characteristic
MSC Classifications: 11J83, 11K60, 37D40, 37A17, 22E40 show english descriptions Metric theory
Diophantine approximation [See also 11Jxx]
Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
Homogeneous flows [See also 22Fxx]
Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
11J83 - Metric theory
11K60 - Diophantine approximation [See also 11Jxx]
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
37A17 - Homogeneous flows [See also 22Fxx]
22E40 - Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
 

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