8 citations · 8 across the 5 of their papers we have counts for
5 papers
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 , and number field to ensure that the numbers defined by the cont…
On Polynomials in Primes, Ergodic Averages and Monothetic Groups
Jean-Louis Verger-Gaugry, Jaroslav Hancl, Radhakrishnan Nair
Let denote a compact monothetic group, and let where are elements of one of which is a generator of . Let…
One-sided Diophantine approximations
Jaroslav Hančl, Ondřej Turek
The paper deals with best one--sided (lower or upper) Diophantine approximations of the -th kind (). We use the ordinary continued fraction expansions to f…
Low Ply Drawings of Trees
Patrizio Angelini, Michael A. Bekos, Till Bruckdorfer +5
We consider the recently introduced model of \emph{low ply graph drawing}, in which the ply-disks of the vertices do not have many common overlaps, which results in a good distribu…
On irrationality exponents of generalized continued fractions
Jaroslav Hancl, Kalle Leppälä, Tapani Matala-aho +1
We study how the asymptotic irrationality exponent of a given generalized continued fraction \[ \K_{n=1}^\infty \frac{a_n}{b_n}\,,\quad a_n, b_n\in \mathbb{Z}^+, \] behaves as a fu…