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
AbstractThis paper is motivated by recent applications of Diophantine approximation in electronics, ...
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
We prove a version of the Khinchin–Groshev theorem in Diophantine approximation for quadratic extens...
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...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
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 use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
In this paper we initiate a new approach to studying approximations by rational points to points on ...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved ...
AbstractThis paper is motivated by recent applications of Diophantine approximation in electronics, ...
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
We prove a version of the Khinchin–Groshev theorem in Diophantine approximation for quadratic extens...
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...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
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 use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
In this paper we initiate a new approach to studying approximations by rational points to points on ...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved ...
AbstractThis paper is motivated by recent applications of Diophantine approximation in electronics, ...
AbstractThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approxi...
We prove a version of the Khinchin–Groshev theorem in Diophantine approximation for quadratic extens...
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