31 citations · 241 across the 73 of their papers we have counts for
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Palindromic continued fractions
Boris Adamczewski, Yann Bugeaud
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some combinatorial properties involving the notion of palindrome. We provide three new t…
Continued fractions and transcendental numbers
Boris Adamczewski, Yann Bugeaud, Les J. L. Davison
It is widely believed that the continued fraction expansion of every irrational algebraic number either is eventually periodic (and we know that this is the case if and only if…
On the Maillet--Baker continued fractions
Boris Adamczewski, Yann Bugeaud
We use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic continued fractions. This improves earlier works of Maillet and of A. Baker. We also…
On the Littlewood conjecture in fields of power series
Boris Adamczewski, Yann Bugeaud
Let $\k$ be an arbitrary field. For any fixed badly approximable power series in $\k((X^{-1}))$, we give an explicit construction of continuum many badly approximable power ser…
On the Littlewood conjecture in simultaneous Diophantine approximation
Boris Adamczewski, Yann Bugeaud
For any given real number with bounded partial quotients, we construct explicitly continuum many real numbers with bounded partial quotients for which the pair sat…
On the complexity of algebraic numbers II. Continued fractions
Boris Adamczewski, Yann Bugeaud
The continued fraction expansion of an irrational number is eventually periodic if and only if is a quadratic irrationality. However, very little is known regarding the siz…