It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐monotonic error function. In other words it is shown that if a volume sum converges the set of points lying on the curve which satisfy a Diophantine condition has Lebesgue measure zero
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 ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐mono...
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...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on inte...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
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...
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 ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐mono...
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...
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Dioph...
The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on inte...
Let $\mathbb C$ be a non-degenerate planar curve. We show that the curve is of Khintchine-type for c...
In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine...
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...
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 ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
DOI
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