1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Research Council CanadaCA185 papers
- University of RochesterUS107 papers
- Carleton UniversityCA73 papers
- Centre National de la Recherche ScientifiqueFR64 papers
- Max Planck Institute for the Science of LightDE61 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE48 papers
- University of WaterlooCA42 papers
- Joint Attosecond Science LaboratoryCA41 papers
- University of LuxembourgLU34 papers
- Lyon 1 UniversitéFR32 papers
- University of GlasgowGB30 papers
- Max Planck - University of Ottawa Centre for Extreme and Quantum PhotonicsCA28 papers
4 papers · 2 filters
A Gel'fond type criterion in degree two
Benoit Arbour, Damien Roy
We establish a criterion for a complex number to be algebraic over Q of degree at most two. It requires that, for any sufficiently large real number X, there exists a non-zero poly…
Approximation simultanée d'un nombre et de son carré [Simultaneous approximation to a real number and its square]
Damien Roy
In 1969, H. Davenport and W. Schmidt established a measure of simultaneous approximation for a real number ξand its square by rational numbers with the same denominator, assuming o…
Approximation to real numbers by cubic algebraic integers II
Damien Roy
It has been conjectured for some time that, for any integer n\ge 2, any real number ε>0 and any transcendental real number ξ, there would exist infinitely many algebraic integers α…
Diophantine approximation by conjugate algebraic integers
Damien Roy, Michel Waldschmidt
Building on work of Davenport and Schmidt, we mainly prove two results. The first one is a version of Gel'fond's transcendence criterion which provides a sufficient condition for a…