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math.NT2022
Dirichlet is not just bad and singular in many rational IFS fractals
Johannes Schleischitz
For , consider the -fold Cartesian product of the limit set of an IFS of two affine maps with rational coefficients. If the contraction rates of the IFS are reciproc…
math.NT2022★ 2 cited
Metric results on inhomogeneously singular vectors
Johannes Schleischitz
Given $\ut\in\Rm$ and any norm on $\Rm$, we consider "inhomogeneously singular" vectors in $\Rm$ that admit an integer vector solution $(q,\underline{p})=(q,p_1,\ldot…
math.NT2015
On a -module connected to approximation theory
Johannes Schleischitz
This paper deals with the set of such that tends to for a fixed , which we call . Predominately the case of…