5 papers · 1 filter
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…
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…
On two uniform exponents of approximation related to Wirsing's problem
Johannes Schleischitz
We aim to fill a gap in the proof of an inequality relating two exponents of uniform Diophantine approximation stated in a paper by Bugeaud. We succeed to verify the inequality in…
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…