An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves obeying certain curvature conditions
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves o...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
We prove the convergence case of the Khintchine-Groshev theorem for affine subspaces and their nonde...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
The convergence case of a Khintchine-type theorem for a large class of hyperplanes is obtained. The ...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote...
In his 1960 paper, Schmidt studied a quantitative type of Khintchine-Groshev theorem. Recently, a ne...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved ...
In this paper we obtain constructive characteristic of analogue of Lipschitz class on curves in a co...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves o...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
We prove the convergence case of the Khintchine-Groshev theorem for affine subspaces and their nonde...
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve i...
The convergence case of a Khintchine-type theorem for a large class of hyperplanes is obtained. The ...
We deal with Diophantine approximation on the so-called non-degenerate manifolds and prove an analog...
Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote...
In his 1960 paper, Schmidt studied a quantitative type of Khintchine-Groshev theorem. Recently, a ne...
The well-known theorems of Khintchine and Jarník in metric Diophantine approximation provide a compr...
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved ...
In this paper we obtain constructive characteristic of analogue of Lipschitz class on curves in a co...
The use of Hausdorff measures and dimension in the theory of Diophantine approximation dates back to...
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
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