7 citations · 14 across the 7 of their papers we have counts for
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Solving effectively some families of Thue Diophantine equations
Claude Levesque, Michel Waldschmidt
Let be an algebraic number of degree and let be the algebraic number field $\Q(α)$. When is a unit of such that $\Q(α\varepsilon)=K$, we consider…
Families of cubic Thue equations with effective bounds for the solutions
Claude Levesque, Michel Waldschmidt
To each non totally real cubic extension of $\Q$ and to each generator of the cubic field , we attach a family of cubic Thue equations, indexed by the units of , and…
Approximation of an algebraic number by products of rational numbers and units
Claude Levesque, Michel Waldschmidt
We relate a previous result of ours on families of Diophantine equations having only trivial solutions with a result on the approximation of an algebraic number by products of rati…
Some remarks on diophantine equations and diophantine approximation
Claude Levesque, Michel Waldschmidt
We first recall the connection, going back to A. Thue, between rational approximation to algebraic numbers and integer solutions of some Diophantine equations. Next we recall the e…