A transference inequality for rational approximation to points in geometric progression

Jérémy Champagne (1) , Damien Roy (1)

1 Department of Mathematics and Statistics [Ottawa]

We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Jérémy Champagne, Damien Roy. A transference inequality for rational approximation to points in geometric progression. 2019. ⟨hal-02307784v1⟩