Add to ORKGFor any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum many real numbers $\beta$ with bounded partial quotients for which the pair $(\alpha, \beta)$ satisfies a strong form of the Littlewood conjecture. Our proof is elementary and rests on the basic theory of continued fractions
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
On montre que cette conjecture est vérifiée pour les nombres réels admettant une grande période dans...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
The main purpose of this note is to construct families of pairs of formal power series over a finite...
Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost...
Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost...
It was proved by Cassels and Swinnerton-Dyer that Littlewood conjecture in simultaneous Diophantine ...
Let $\k$ be an arbitrary field. For any fixed badly approximable power series $\Theta$ in $\k((X^{-1...
For K a cubic field with only one real embedding and α, β ϵ K, we show how to construct an increasin...
In a recent paper, de Mathan and Teulié asked whether lim infq→+∞q⋅‖qα‖⋅|q|p = 0 holds for every bad...
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
On montre que cette conjecture est vérifiée pour les nombres réels admettant une grande période dans...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
The main purpose of this note is to construct families of pairs of formal power series over a finite...
Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost...
Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost...
It was proved by Cassels and Swinnerton-Dyer that Littlewood conjecture in simultaneous Diophantine ...
Let $\k$ be an arbitrary field. For any fixed badly approximable power series $\Theta$ in $\k((X^{-1...
For K a cubic field with only one real embedding and α, β ϵ K, we show how to construct an increasin...
In a recent paper, de Mathan and Teulié asked whether lim infq→+∞q⋅‖qα‖⋅|q|p = 0 holds for every bad...
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...