Y. Bugeaud

activity

20032026

most citedRoot separation for irreducible integer polynomials

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

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Showing 2021 · math.NTShow all

7 papers · 2 filters

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.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…

math.NT2021

Apollonius circles and irreducibility criteria for polynomials

Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Yann Bugeaud +1

We prove the irreducibility of integer polynomials $f (X)$ whose roots lie inside an Apollonius circle associated to two points on the real axis with integer abscisae $a$ and $b$ , w…

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

Classical and uniform exponents of multiplicative p-adic approximation

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

Apollonius circles and irreducibility criteria for polynomials

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

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