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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Showing 2017Show all

2 papers · 1 filter

math.NT2017

Representation of integers by cyclotomic binary forms

Etienne Fouvry, Claude Levesque, Michel Waldschmidt

The homogeneous form $Φ_{n} (X, Y)$ of degree $φ (n)$ which is associated with the cyclotomic polynomial $ϕ_{n} (X)$ is dubbed a {\it cyclotomic binary form}. A positive integer $m \geq 1$ i…

math.NT2017★ 2 cited

Families of Thue equations associated with a rank one subgroup of the unit group of a number field

Claude Levesque, Michel Waldschmidt

Twisting a binary form $F_{0} (X, Y) \in Z [X, Y]$ of degree $d \geq 3$ by powers $υ^{a}$ ( $a \in Z$ ) of an algebraic unit $υ$ gives rise to a binary form $F_…