Let bgreater-or-equal, slanted2 be an integer. We prove that real numbers whose b-ary expansion satisfies some given, simple, combinatorial condition are transcendental. This implies that the b-ary expansion of any algebraic irrational number cannot be generated by a finite automaton
Abstract. Let Bn(x) denote the number of 1’s occuring in the binary expansion of an irrational numbe...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
Abstract. Let θ = [0; a1, a2,...] be an algebraic number of degree at least three. Recently, we have...
Let bgreater-or-equal, slanted2 be an integer. We prove that real numbers whose b-ary expansion sati...
Boris Adamczewski and Yann Bugeaud Let b ≥ 2 be an integer. We prove that the b-ary expansion of eve...
Let b . 2 be an integer. We prove that the b-ary expansion of every irrational algebraic number cann...
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic numb...
AbstractWe apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridout...
Is it possible to distinguish algebraic from transcendental real numbers by considering the $b$-ary ...
This thesis studies some links between the combinatorial properties of the base-b expansion or of th...
We introduce two families of transcendental numbers which we call finite factorial (FF) and partiall...
AbstractWe prove that a positive real number whose binary expansion is a fixed point of a morphism o...
Real numbers are divided into rational and irrational numbers. Students learn about this division al...
We study some diophantine properties of automatic real numbers and we present a method to derive irr...
A complex number α is called algebraic if it is a root of a nonzero polynomial with in racional...
Abstract. Let Bn(x) denote the number of 1’s occuring in the binary expansion of an irrational numbe...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
Abstract. Let θ = [0; a1, a2,...] be an algebraic number of degree at least three. Recently, we have...
Let bgreater-or-equal, slanted2 be an integer. We prove that real numbers whose b-ary expansion sati...
Boris Adamczewski and Yann Bugeaud Let b ≥ 2 be an integer. We prove that the b-ary expansion of eve...
Let b . 2 be an integer. We prove that the b-ary expansion of every irrational algebraic number cann...
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic numb...
AbstractWe apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridout...
Is it possible to distinguish algebraic from transcendental real numbers by considering the $b$-ary ...
This thesis studies some links between the combinatorial properties of the base-b expansion or of th...
We introduce two families of transcendental numbers which we call finite factorial (FF) and partiall...
AbstractWe prove that a positive real number whose binary expansion is a fixed point of a morphism o...
Real numbers are divided into rational and irrational numbers. Students learn about this division al...
We study some diophantine properties of automatic real numbers and we present a method to derive irr...
A complex number α is called algebraic if it is a root of a nonzero polynomial with in racional...
Abstract. Let Bn(x) denote the number of 1’s occuring in the binary expansion of an irrational numbe...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
Abstract. Let θ = [0; a1, a2,...] be an algebraic number of degree at least three. Recently, we have...
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