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短课程《Diophantine Approximations and Diophantine Equations》
编辑:mathyjs发布时间:2018年04月19日

  短课程《Diophantine Approximations and Diophantine Equations》

  

  课程简介:

  

  Diophantine problems go back to ancient times and are still among the 

most important and difficult in number theory. In this course we will 

study basic theory of Diophantine Approximations (the theorems of 

Dirichlet, Liouville, Thue-Siegel-Roth) and their application to 

Diophantine equations.


    In Diophantine equations our most important source of examples will be 

the equation of Thue. We will obtain various finiteness theorems for 

this equation, both non-effective and effective, and will learn how to 

solve it numerically. We will also discuss some applications, for 

instance, to the famous problem of the Primitive Divisors.


时间安排如下:


1. 4月19日(周四)上午10:00-12:00,实验楼104;

2. 4月20日(周五)下午14:30-16:30,实验楼104;

3. 4月27日(周五)下午14:30-16:30,实验楼103;

4. 5月3日(周四)上午10:00-12:00,实验楼104;

5. 5月4日(周五)下午14:30-16:30,实验楼103;

6. 5月11日(周五)下午14:30-16:30 实验楼103。


欢迎各位硕士研究生和本科(四年级)参加此课程!

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