AbstractWe apply nondivergence estimates for flows on homogeneous spaces to compute Diophantine exponents of affine subspaces of Rn and their nondegenerate submanifolds
Two theorems on simultaneous approximation are obtained by using generalized convex operators
AbstractIt is proved that the three-dimensional Diophantine approximation constant is at least 2(275...
The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace ...
Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and res...
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous...
On the space ${\mathcal L}_{n+1}$ of unimodular lattices in $\mathbb{R}^{n+1}$, we consider the stan...
Abstract in dt. Sprache nicht verfügbarThis paper deals with two main topics related to Diophantine ...
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transfere...
Let $\phi(z)$ be a non-isotrivial rational function in one-variable with coefficients in $\overline{...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
We investigate some Diophantine approximation constants related to the simultaneous approximation of...
We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of ra...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
International audienceLet Γ = ZA + Z^n ⊂ R^n be a dense subgroup with rank n + 1 and let ω(A) denote...
AbstractLet α = (a1B,…, anB) be a vector of rational numbers satisfying the primitivity condition g....
Two theorems on simultaneous approximation are obtained by using generalized convex operators
AbstractIt is proved that the three-dimensional Diophantine approximation constant is at least 2(275...
The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace ...
Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and res...
We provide an extension of the transference results of Beresnevich and Velani connecting homogeneous...
On the space ${\mathcal L}_{n+1}$ of unimodular lattices in $\mathbb{R}^{n+1}$, we consider the stan...
Abstract in dt. Sprache nicht verfügbarThis paper deals with two main topics related to Diophantine ...
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transfere...
Let $\phi(z)$ be a non-isotrivial rational function in one-variable with coefficients in $\overline{...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
We investigate some Diophantine approximation constants related to the simultaneous approximation of...
We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of ra...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
International audienceLet Γ = ZA + Z^n ⊂ R^n be a dense subgroup with rank n + 1 and let ω(A) denote...
AbstractLet α = (a1B,…, anB) be a vector of rational numbers satisfying the primitivity condition g....
Two theorems on simultaneous approximation are obtained by using generalized convex operators
AbstractIt is proved that the three-dimensional Diophantine approximation constant is at least 2(275...
The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace ...
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