Yann Bugeaud

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20082025

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math.NT2025

On the difference between squares 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 and $x$ a positive integer. We establish an effective lower bound for the greates…

math.NT2024

Effective approximation to complex algebraic numbers by quadratic numbers

Prajeet Bajpai, Yann Bugeaud

We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.

math.NT2008

Integral Points on Hyperelliptic Curves

Y. Bugeaud, M. Mignotte, S. Siksek +2

We give a completely explicit upper bound for integral points on (standard) affine models of hyperelliptic curves, provided we know at least one rational point and a Mordell-Weil b…

On the difference between squares and integral S-units

Effective approximation to complex algebraic numbers by quadratic numbers

Integral Points on Hyperelliptic Curves

On the difference between squares and integral $S$ -units