The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve is established. Our results complement the divergence theory developed in [1] and thereby completes the general metric theory for planar curves
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote...
AbstractThe primary goal of this paper is to complete the theory of metric Diophantine approximation...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
In metric Diophantine approximation there are classically four main classes of approximations: simul...
AbstractWe investigate rational approximations (r/p,q/p) or (r/p,q/r) to points on the curve (α,ατ) ...
This thesis is concerned with the theory of Diophantine approximation from the point of view of mea...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on inte...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
Let $g$ be a dimension function. The Generalised Baker-Schmidt Problem (1970) concerns the $g$-dimen...
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote...
AbstractThe primary goal of this paper is to complete the theory of metric Diophantine approximation...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
In metric Diophantine approximation there are classically four main classes of approximations: simul...
AbstractWe investigate rational approximations (r/p,q/p) or (r/p,q/r) to points on the curve (α,ατ) ...
This thesis is concerned with the theory of Diophantine approximation from the point of view of mea...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on inte...
In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approx...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
Let $g$ be a dimension function. The Generalised Baker-Schmidt Problem (1970) concerns the $g$-dimen...
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
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