D. Badziahin

collaborators

3 papers

math.NT2026

Positive Logarithmic Hausdorff Measures of Exceptional Sets for the $p$ -adic and $t$ -adic Littlewood Conjectures

Dzmitry Badziahin, Volodymyr Pavlenkov, Evgeniy Zorin

We prove that if the exceptional set $E_{p}$ for the $p$ -adic Littlewood conjecture is non-empty, then its logarithmic Hausdorff dimension is at least one. More precisely, whenever $…

math.NT2025

On the $P (t)$ -adic Littlewood Conjecture in Characteristics $ℓ \equiv 3 (mod 4)$

Faustin Adiceam, Dzmitry Badziahin

Given a prime $p$ , the $p$ -adic Littlewood Conjecture stands as a well-known arithmetic variant of the celebrated Littlewood Conjecture in Diophantine Approximation. In the same wa…

math.NT2025

Simultaneous Diophantine approximation to points on the Veronese curve

Dzmitry Badziahin

We compute the Hausdorff dimension of the set of simultaneously $q^{- I^»}$ -well approximable points on the Veronese curve in $R^{n}$ for $I^»$ between $\frac{1}{n}$ and $\frac…

Positive Logarithmic Hausdorff Measures of Exceptional Sets for the p-adic and t-adic Littlewood Conjectures

On the P(t)-adic Littlewood Conjecture in Characteristics ℓ≡3(mod4)

Simultaneous Diophantine approximation to points on the Veronese curve

Positive Logarithmic Hausdorff Measures of Exceptional Sets for the $p$ -adic and $t$ -adic Littlewood Conjectures

On the $P (t)$ -adic Littlewood Conjecture in Characteristics $ℓ \equiv 3 (mod 4)$