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math.NT2015
Badly approximable points in twisted Diophantine approximation and Hausdorff dimension
Paloma Bengoechea, Nikolay Moshchevitin
For any j_1,...,j_n>0 with j_1+...+j_n=1 and any x \in R^n, we consider the set of points y \in R^n for which max_{1\leq i\leq n}(||qx_i-y_i||^{1/j_i})>c/q for some positive consta…
math.NT2015
A note on weighted badly approximable linear forms
Stephen Harrap, Nikolay Moshchevitin
We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give a affirmative answer to…