J. Hančl

activity

20182024

collaborators

3 papers

math.NT2024

Linear independence of continued fractions with algebraic terms

Jaroslav Hančl, Mathias L. Laursen, Jitu Berhanu Leta

We give conditions on sequences of positive algebraic numbers ${a_{n, j}}_{n = 1}^{\infty}$ , $j = 1, \dots, M$ and number field $K$ to ensure that the numbers defined by the cont…

math.NT2020

On Polynomials in Primes, Ergodic Averages and Monothetic Groups

Jean-Louis Verger-Gaugry, Jaroslav Hancl, Radhakrishnan Nair

Let $G$ denote a compact monothetic group, and let $ρ (x) = α_{k} x^{k} + \dots + α_{1} x + α_{0},$ where $α_{0}, \dots, α_{k}$ are elements of $G$ one of which is a generator of $G$ . Let…

math.NT2018

One-sided Diophantine approximations

Jaroslav Hančl, Ondřej Turek

The paper deals with best one--sided (lower or upper) Diophantine approximations of the $ℓ$ -th kind ( $ℓ \in N$ ). We use the ordinary continued fraction expansions to f…