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math.NT2026
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…
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…