Dzmitry Badziahin

activity

20102016

most citedOn continued fraction expansion of potential counterexamples to

p

-adic Littlewood conjecture

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016

Continuant Diophantine equations

Dzmitry Badziahin

We investigate a family of Diophantine polynomial equations which involve continuant functions. In particular, given a polynomial $P (x) \in Z [x]$ and $n \in N$ , we…

math.NT2014★ 2 cited

On continued fraction expansion of potential counterexamples to $p$ -adic Littlewood conjecture

Dzmitry Badziahin

The $p$ -adic Littlewood conjecture (PLC) states that $lim inf_{q \to \infty} q \cdot ∣ q ∣_{p} \cdot ∣∣ q x ∣∣ = 0$ for every prime $p$ and every real $x$ . Let $w_{C F} (x)$ be an infinite wor…

math.NT2010

Inhomogeneous theory of dual Diophantine approximation on manifolds

Dzmitry Badziahin, Victor Beresnevich, Sanju Velani

The inhomogeneous Groshev type theory for dual Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence par…

Continuant Diophantine equations

On continued fraction expansion of potential counterexamples to p-adic Littlewood conjecture

Inhomogeneous theory of dual Diophantine approximation on manifolds

On continued fraction expansion of potential counterexamples to $p$ -adic Littlewood conjecture