Dmitry Badziahin

collaborators

3 papers

math.NT2026

Distance between cubics and rationals

Dmitry Badziahin

We investigate the following problem: what is the smallest possible distance between a cubic irrational $I^¾$ and a rational number $p / q$ in terms of the height $H (I^¾)$ and $q$ ? Mor…

math.NT2025

Generating random factorisations of polynomial values

Dmitry Badziahin

We construct algorithms that efficiently generate random factorisations of values $P (n)$ as products of two integers, where $P \in Z [x]$ is a given quadratic or cubic monic…

math.NT2025

Estimating lower limit in the $p$ -adic Littlewood conjecture

Dmitry Badziahin

We verify that $lim inf_{q \to \infty} q \cdot ∣ q ∣_{p} \cdot ∣∣ q x ∣∣ < I^µ$ for all real $x$ , small primes $p$ and relatively small $I^µ$ . This result supports the famous $p$ -adic Littlewood…

Distance between cubics and rationals

Generating random factorisations of polynomial values

Estimating lower limit in the p-adic Littlewood conjecture

Estimating lower limit in the $p$ -adic Littlewood conjecture