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

87 papers

math.NT2026

Refinements of Peck's theorem on simultaneous approximation to algebraic numbers

Yann Bugeaud, Bernard de Mathan

Let $n$ be an integer with $n \geq 2$ , and let $E$ be a real algebraic number field of degree $n + 1$ over $Q$ . Let $α_{1}, \dots, α_{n}$ be real numbers in $E$ such that $(1,α_…

math.NT2026

On the binary representation of powers of $3$

Yann Bugeaud

We establish that only finitely many powers of $3$ can have a simple binary representation.

math.NT2026

On the difference between perfect powers and integral $S$ -units

Yann Bugeaud

Let $q_{1}, \dots, q_{t}$ be distinct prime numbers. Let $a_{1}, \dots, a_{t}$ be nonnegative integers. We establish effective lower bounds for $∣ z^{d} - q_{1}^{a_{1}} \dots q_{t}^{a_{t}} ∣$ and…

math.NT2025

On the irrationality exponent of real numbers with low complexity expansion

Yann Bugeaud, Hajime Kaneko, Dong Han Kim

Let $ξ$ be a real number and $b \geq 2$ an integer. We study the relationship between the irrationality exponent of $ξ$ and the subword complexity $p (n, x)$ of the $b$ -ary…

math.NT2025

On the $b$ -ary expansion of a real number whose irrationality exponent is close to 2

Yann Bugeaud, Dong Han Kim

Let $b \geq 2$ be an integer and $ξ$ an irrational real number. We establishes that, if the irrationality exponent of $ξ$ is less than $2.324 \dots$ , then the $b$ -ary expansion of…

math.NT2025

Simultaneous multiplicative rational approximation to a real and a $p$ -adic numbers

Yann Bugeaud, Bernard de Mathan

We give new examples of pairs composed of a real and a $p$ -adic numbers that satisfy a conjecture on simultaneous multiplicative approximation by rational numbers formulated by Ein…

Refinements of Peck's theorem on simultaneous approximation to algebraic numbers

On the binary representation of powers of 3

On the difference between perfect powers and integral S-units

On the irrationality exponent of real numbers with low complexity expansion

On the b-ary expansion of a real number whose irrationality exponent is close to 2

Simultaneous multiplicative rational approximation to a real and a p-adic numbers

On the binary representation of powers of $3$

On the difference between perfect powers and integral $S$ -units

On the $b$ -ary expansion of a real number whose irrationality exponent is close to 2

Simultaneous multiplicative rational approximation to a real and a $p$ -adic numbers