C. Levesque

activity

20132018

most citedSome remarks on diophantine equations and diophantine approximation

7 citations · 14 across the 7 of their papers we have counts for

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math.NT2015

A family of Thue equations involving powers of units of the simplest cubic fields

Claude Levesque, Michel Waldschmidt

E. Thomas was one of the first to solve an infinite family of Thue equations, when he considered the forms $F_{n} (X, Y) = X^{3} - (n - 1) X^{2} Y - (n + 2) X Y^{2} - Y^{3}$ and the family of equations…

math.NT2015

Solving simultaneously Thue equations in the almost totally imaginary case

Claude Levesque, Michel Waldschmidt

Let $α$ be an algebraic number of degree $d \geq 3$ having at most one real conjugate and let $K$ be the algebraic number field $Q (α)$ . For any unit $ε$ of $K$ such that ${…