Y. Bugeaud

activity

20032026

most citedRoot separation for irreducible integer polynomials

31 citations · 241 across the 73 of their papers we have counts for

collaborators

Showing 2021Show all

8 papers · 1 filter

math.NT2021

On the rational approximation to $p$ -adic Thue--Morse numbers

Yann Bugeaud

Let $p$ be a prime number and $ξ$ an irrational $p$ -adic number. Its multiplicative irrationality exponent $μ^{\times} (ξ)$ is the supremum of the real numbers $μ^{\times}$ for…

math.NT2021

On the rational approximation to Thue--Morse rational numbers

Yann Bugeaud, Guo-Niu Han

Let $b \geq 2$ and $ℓ \geq 1$ be integers. We establish that there is an absolute real number $K$ such that all the partial quotients of the rational number $$ \prod_{h = 0}^\ell…

math.NT2021★ 1 cited

Multiplicative dependence of rational values modulo approximate finitely generated groups

Attila Bérczes, Yann Bugeaud, Kálmán Győry +3

In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are `close' (with respect to the Weil height) to divisi…

math.DS2021

Switched server systems whose parameters are normal numbers in base 4

Andre do Amaral Antunes, Yann Bugeaud, Benito Pires

Switched server systems are mathematical models of manufacturing, traffic and queueing systems. Recently, it was proved in (Eur. J. Appl. Math. 31(4) (2020), pp. 682-708) that ther…

math.NT2021

Classical and uniform exponents of multiplicative $p$ -adic approximation

Yann Bugeaud, Johannes Schleischitz

Let $p$ be a prime number and $ξ$ an irrational $p$ -adic number. Its irrationality exponent $μ (ξ)$ is the supremum of the real numbers $μ$ for which the system of inequalities $$ 0…

math.NT2021★ 1 cited

Combinatorial structure of Sturmian words and continued fraction expansions of Sturmian numbers

Yann Bugeaud, Michel Laurent

Let $θ = [0; a_{1}, a_{2}, \dots]$ be the continued fraction expansion of an irrational real number $θ \in (0, 1)$ . It is well-known that the characteristic Sturmian word of slope $θ$ is…

On the rational approximation to p-adic Thue--Morse numbers

On the rational approximation to Thue--Morse rational numbers

Multiplicative dependence of rational values modulo approximate finitely generated groups

Switched server systems whose parameters are normal numbers in base 4

Classical and uniform exponents of multiplicative p-adic approximation

Combinatorial structure of Sturmian words and continued fraction expansions of Sturmian numbers

On the rational approximation to $p$ -adic Thue--Morse numbers

Classical and uniform exponents of multiplicative $p$ -adic approximation