B. de Mathan

activity

20092026

collaborators

3 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.NT2024

Simultaneous Diophantine approximation with a divisibility condition

Bernard de Mathan

In a previous paper, we studied certain sequences of simultaneous rational approximations in $R^{2}$ which present some analogy with the continued fractions. We got results aro…

math.NT2009

On a mixed problem in Diophantine approximation

Yann Bugeaud, Bernard De Mathan

Let $d$ be a positive integer. Let $p$ be a prime number. Let $α$ be a real algebraic number of degree $d + 1$ . We establish that there exist a positive constant $c$ and infinitely m…