Metrical Theorems for Inhomogeneous Diophantine Approximation in Positive Characteristic
نویسندگان
چکیده
We consider inhomogeneous Diophantine approximation for formal Laurent series over a finite base field. We establish an analogue of a strong law of large numbers due to W. M. Schmidt with a better error term than in the real case. A special case of our result improves upon a recent result by H. Nakada and R. Natsui and completes a result of M. M. Dodson, S. Kristensen, and J. Levesley. Moreover, we prove various results for inhomogeneous Diophantine approximation with restricted denominators.
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