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A note on three problems in metric Diophantine approximation

A note on three problems in metric Diophantine approximation

The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to the 1920s with the theorems of Jarník and Besicovitch regarding well-approximable and badly-approximable points.In this paper we consider three inhomogeneous problems that further develop these classical results.Firstly, we obtain a Jarník type theorem for …