The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine approximation, is established for smooth planar curves with non–vanishing curvature almost everywhere
In this paper we develop an explicit method for studying the distribution of rational points near ma...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical the...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves o...
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...
It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐mono...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
In metric Diophantine approximation there are classically four main classes of approximations: simul...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
Let $g$ be a dimension function. The Generalised Baker-Schmidt Problem (1970) concerns the $g$-dimen...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
In this paper we develop an explicit method for studying the distribution of rational points near ma...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical the...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves o...
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...
It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐mono...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
In metric Diophantine approximation there are classically four main classes of approximations: simul...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
Let $g$ be a dimension function. The Generalised Baker-Schmidt Problem (1970) concerns the $g$-dimen...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
In this paper we develop an explicit method for studying the distribution of rational points near ma...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical the...
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