3 papers
math.NT2026
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…
math.NT2026
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…
math.NT2025
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…