Add to ORKGThe main goal of this work is to give a lower bound to the number of digit changes in the beta-expansions of algebraic numbers. We do so by adapting the joint work of Bugeaud and Evertse of 2008
AbstractLet x∈I be an irrational element and n⩾1, where I is the unit disc in the field of formal La...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contai...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
Peoples over the ages use different counting systems. Appling that to cryptography, we use to repres...
In this paper we consider representation of numbers in an irrational basis β> 1. We study the ari...
Let beta be a real number bigger than 1 and A a finite set of arbitrary real numbers. A beta-expansi...
A beta expansion is the analogue of the base 10 representation of a real number, where the base may ...
In this article, we investigate the $\beta$-expansions of real algebraic numbers. In particular, we ...
Employing concepts from additive number theory, together with results on binary evaluations and part...
Abstract. Classical ways to represent a real number are by its continued fraction ex-pansion or by i...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
In this talk, I introduce the work in progress of my PhD. More precisely, I present the results alre...
International audienceThe finiteness property is an important arithmetical property of beta-expansio...
In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grow...
AbstractLet x∈I be an irrational element and n⩾1, where I is the unit disc in the field of formal La...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contai...
Borel conjectured that all algebraic irrational numbers are normal in base 2. However, very little i...
Peoples over the ages use different counting systems. Appling that to cryptography, we use to repres...
In this paper we consider representation of numbers in an irrational basis β> 1. We study the ari...
Let beta be a real number bigger than 1 and A a finite set of arbitrary real numbers. A beta-expansi...
A beta expansion is the analogue of the base 10 representation of a real number, where the base may ...
In this article, we investigate the $\beta$-expansions of real algebraic numbers. In particular, we ...
Employing concepts from additive number theory, together with results on binary evaluations and part...
Abstract. Classical ways to represent a real number are by its continued fraction ex-pansion or by i...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
In this talk, I introduce the work in progress of my PhD. More precisely, I present the results alre...
International audienceThe finiteness property is an important arithmetical property of beta-expansio...
In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grow...
AbstractLet x∈I be an irrational element and n⩾1, where I is the unit disc in the field of formal La...
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized b...
We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contai...