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Diophantine Approximation and Nevanlinna Theory

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2009)

Abstract

Beginning with the work of Osgood [65], it has been known that the branch of complex analysis known as Nevanlinna theory (also called value distribution theory) has many similarities with Roth’s theorem on diophantine approximation.

Keywords

  • Line Sheaf
  • Diophantine Approximation
  • Ample Line Sheaf
  • Cartier Divisor
  • Holomorphic Curve

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Vojta, P. (2011). Diophantine Approximation and Nevanlinna Theory. In: Corvaja, P., Gasbarri, C. (eds) Arithmetic Geometry. Lecture Notes in Mathematics(), vol 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15945-9_3

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