Inhomogeneous Diophantine Approximation of Khintchine and Gr

发布时间：2020-12-12 12:27

　　Diophantine approximation is one of the important branches of Number Theory,and it has extremely widespread application in other mathematical fields,such as Functional Theory,Combinational Mathematics,Computational Mathematics and so on.The most basically rational approximation and Diophantine approximation on manifolds which now is very active and both attracted great attention from plenty of scholars.Especially in recent years,the thought of dynamical system has applied in Diophantine approxim... 

【文章来源】：南京理工大学江苏省 211工程院校

【文章页数】：52 页

【学位级别】：硕士

【文章目录】：
Abstract
1 Literature Review
    1.1 Introduction
    1.2 The research history and present situation of Diophantine approximation
2 Khintchine type and the Groshev type of the theory
3 Preliminary Knowledge
    3.1 Definition of Diophantine approximation and its symbolic representation
    3.2 Non-homogeneous transformation principle
4 （C,α）-good Function and Its Qualitative
5 The Non-homogeneous Groshev Convergence theorem for DiophantineApproximation on Manifolds
    5.1 Decomposition of sets under convergence
    5.2 Proof of theorem
6 Non-homogeneous Diophantine Approximation with ParametricVariables
Summary
Acknowledgements
References
Publications



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