Dirichlet's Theorem in function fields

Abstract

We study metric Diophantine approximation in local fields of positive characteristic. Specifically, we study the problem of improving Dirichlet's theorem in Diophantine approximation and prove very general results in this context.

References in corpus (1)

• Friendly measures, homogeneous flows and singular vectors

Cited by in corpus (4)

• On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
• Metrical properties for continued fractions of formal Laurent series
• Lonely runners in function fields
• Diophantine transference principle over function fields