An inhomogeneous transference principle and Diophantine approximation
An inhomogeneous transference principle and Diophantine approximation
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DOI：
10.1112/plms/pdq002
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发表时间：
2008-02
影响因子：
1.8
通讯作者：
V. Beresnevich;S. Velani
中科院分区：
文献类型：
--
作者：
V. Beresnevich;S. Velani
在一篇具有里程碑意义的论文中（'Flows on homogeneous spaces and Diophantine approximation on manifolds'，Ann. of Math.（2）148（1998），339-360.）Kleinbock和Margulis建立了流形上齐次丢番图逼近的基本Baker-Sprindz猜想。随后，这一研究领域取得了巨大进展。然而，迄今为止开发的技术似乎并不适用于非齐次近似。因此，流形上的非齐次丢番图逼近理论基本上仍然不存在。
In a landmark paper (‘Flows on homogeneous spaces and Diophantine approximation on manifolds’, Ann. of Math. (2) 148 (1998), 339–360.) Kleinbock and Margulis established the fundamental Baker–Sprindz̆uk conjecture on homogeneous Diophantine approximation on manifolds. Subsequently, there has been dramatic progress in this area of research. However, the techniques developed to date do not seem to be applicable to inhomogeneous approximation. Consequently, the theory of inhomogeneous Diophantine approximation on manifolds remains essentially non‐existent.