29 citations · 100 across the 39 of their papers we have counts for
51 papers
The Cartesian product of exact approximation sets
Jing Guo, Mumtaz Hussain, Bixuan Li +1
We determine the Hausdorff and packing dimensions of Cartesian products of one-dimensional exact approximation sets. Our main result establishes the exact-approximation counterpart…
On an inhomogeneous uniform Littlewood type problem
Johannes Schleischitz
We show that a fully inhomogeneous uniform Littlewood type problem has a negative answer and the counterexamples form a dense set. This extends the author's recent analogous…
Disproof of the uniform Littlewood conjecture
Johannes Schleischitz
We show that the uniform Littlewood Conjecture (ULC) recently introduced by Bandi, Fregoli and Kleinbock is false. More precisely the counterexamples form a residual set, the metho…
Uniform dual approximation to Veronese curves in small dimension
Johannes Schleischitz
We refine upper bounds for the classical exponents of uniform approximation for a linear form on the Veronese curve in dimension from to . For dimension three, this in parti…
Maillet's property and Mahler's Conjecture on Liouville numbers fail for matrices
Johannes Schleischitz
In the early 1900's, Maillet proved that the image of any Liouville number under a rational function with rational coefficients is again a Liouville number. The analogous result fo…
On the Folklore set and Dirichlet spectrum for matrices
Mumtaz Hussain, Johannes Schleischitz, Benjamin Ward
We study the Folklore set of Dirichlet improvable matrices in which are neither singular nor badly approximable. We prove the non-emptiness for all positive…