317 citations
- Carleton UniversityCA3 papers
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- CCI Reprographics (United States)US2 papers
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- Herzberg Institute of AstrophysicsCA2 papers
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5 papers · 1 filter
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…
Versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of ve…
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…