AbstractWe show that if M ⊂ Rk belongs to a general class of smooth manifolds then, for almost all x ∈ M, Dirichlet's theorem on Diophantine approximation cannot be infinitely improved
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
This is an introductory expository lecture of elementary level. We start with a brief overview of so...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
AbstractWe show that if M ⊂ Rk belongs to a general class of smooth manifolds then, for almost all x...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
In this paper we initiate a new approach to studying approximations by rational points to points on ...
We study metric Diophantine approximation for function fields specifically the problem of improving ...
We investigate the question of how well points on a nondegenerate $k$-dimensional submanifold $M \su...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Let?(r),r=1, 2, … be a positive decreasing sequence such that ?r=1? ?(r)kdiverges. Using a powerful ...
AbstractLetψ(r),r=1, 2, … be a positive decreasing sequence such that ∑r=1∞ψ(r)kdiverges. Using a po...
AbstractLet M be an m-dimensional, Ck manifold in Rn, for any k,m,n∈N, and for any τ>0 letSτ(M)={x∈M...
We show that for almost all points on any analytic curve on R<SUP>k</SUP> which is not contained in ...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
This is an introductory expository lecture of elementary level. We start with a brief overview of so...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
AbstractWe show that if M ⊂ Rk belongs to a general class of smooth manifolds then, for almost all x...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
In this paper we initiate a new approach to studying approximations by rational points to points on ...
We study metric Diophantine approximation for function fields specifically the problem of improving ...
We investigate the question of how well points on a nondegenerate $k$-dimensional submanifold $M \su...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Let?(r),r=1, 2, … be a positive decreasing sequence such that ?r=1? ?(r)kdiverges. Using a powerful ...
AbstractLetψ(r),r=1, 2, … be a positive decreasing sequence such that ∑r=1∞ψ(r)kdiverges. Using a po...
AbstractLet M be an m-dimensional, Ck manifold in Rn, for any k,m,n∈N, and for any τ>0 letSτ(M)={x∈M...
We show that for almost all points on any analytic curve on R<SUP>k</SUP> which is not contained in ...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
This is an introductory expository lecture of elementary level. We start with a brief overview of so...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
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