63 citations · 160 across the 34 of their papers we have counts for
4 papers · 1 filter
A small value estimate in dimension two involving translations by rational points
Ngoc Ai Van Nguyen, Damien Roy
We show that, if a sequence of non-zero polynomials in take small values at translates of a fixed point by multiples of a fixed rational point within…
Spectrum of the exponents of best rational approximation
Damien Roy
Using the new theory of W. M. Schmidt and L. Summerer called parametric geometry of numbers, we show that the going-up and going-down transference inequalities of W. M. Schmidt and…
On Schmidt and Summerer parametric geometry of numbers
Damien Roy
Recently, W. M. Schmidt and L. Summerer introduced a new theory which allowed them to recover the main known inequalities relating the usual exponents of Diophantine approximation…
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer
Damien Roy
In a series of recent papers, W. M. Schmidt and L. Summerer developed a new theory by which they recover all major generic inequalities relating exponents of Diophantine approximat…