Diophantine approximation and the Mass Transference Principle:
incorporating the unbounded setup
Diophantine approximation and the Mass Transference Principle:
incorporating the unbounded setup
We develop the Mass Transference Principle for rectangles of Wang \& Wu (Math. Ann. 2021) to incorporate the `unbounded' setup; that is, when along some direction the lower order (at infinity) of the side lengths of the rectangles under consideration is infinity. As applications, we obtain the Hausdorff dimension of …