Add to ORKGIn 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 transendence criteria, that apply to a broad class of continued fraction expansions, including expansions with unbounded partial quotients. Their proofs heavily depend on the Schmidt Subspace Theorem
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
In this thesis continued fractions are studied in three directions: semi-regular continued fractions...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
We use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic cont...
The aim of the present note is to establish two extensions of some transcendence criteria for real n...
AbstractWe prove a criterion for the transcendence of continued fractions whose partial quotients ar...
AbstractWe prove, using a theorem of W. Schmidt, that if the sequence of partial quotients of the co...
AbstractUsing recent work of Adamczewski and Bugeaud, we are able to relax the conditions given by B...
The continued fraction expansion of an irrational number $\alpha$ is eventually periodic if and only...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
AbstractThe following problem was posed by C.A. Nicol: given any finite sequence of positive integer...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
In this thesis continued fractions are studied in three directions: semi-regular continued fractions...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
We use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic cont...
The aim of the present note is to establish two extensions of some transcendence criteria for real n...
AbstractWe prove a criterion for the transcendence of continued fractions whose partial quotients ar...
AbstractWe prove, using a theorem of W. Schmidt, that if the sequence of partial quotients of the co...
AbstractUsing recent work of Adamczewski and Bugeaud, we are able to relax the conditions given by B...
The continued fraction expansion of an irrational number $\alpha$ is eventually periodic if and only...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
AbstractThe following problem was posed by C.A. Nicol: given any finite sequence of positive integer...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
In this thesis continued fractions are studied in three directions: semi-regular continued fractions...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...