63 citations · 160 across the 34 of their papers we have counts for
40 papers
Extremal numbers and multi-parametric geometry of numbers
Damien Roy
We study weighted simultaneous rational approximation to points of the form , for a class of extremal real numbers , within the framework of multi-parametric geometry…
Best versus uniform Diophantine approximatio
Martin Rivard-Cooke, Damien Roy
Let be integers, and let denote the completion of a number field at a non-trivial place . For each non-zero , let de…
On simultaneous approximation to a real number, its square, and its cube, II
Damien Roy
In a previous paper with the same title, we gave an upper bound for the exponent of uniform rational approximation to a quadruple of -linearly independent real numbers…
Diophantine approximation with constraints
Jérémy Champagne, Damien Roy
Following Schmidt, Thurnheer and Bugeaud-Kristensen, we study how Dirichlet's theorem on linear forms needs to be modified when one requires that the vectors of coefficients of the…
Parametric geometry of numbers over a number field and extension of scalars
Anthony Poëls, Damien Roy
The parametric geometry of numbers of Schmidt and Summerer deals with rational approximation to points in . We extend this theory to a number field and its comple…
Simultaneous rational approximation to successive powers of a real number
Anthony Poëls, Damien Roy
We develop new tools leading, for each integer , to a significantly improved upper bound for the uniform exponent of rational approximation to successive p…