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source: matsciencechannel 2014年2月3日

In this course I give an introduction to Diophantine analysis, with a

particular emphasize of the effectiveness aspect. I introduce the classical

non-effective work of Thue-Siegel-Roth, and the effective methods of Baker

and Runge.

Lecture 02 Borel's theorem 1:24:03 "Dirichlet cannot be refined for a.a. numbers". Liouville Theorem. Statements of the theorems of Thue, Siegel and Roth. Applications to Diophine equations.

Lecture 03 Proof of Thue's theorem 1:16:33

Lecture 04 Proof of Thue's theorem (Contd...) 56:38

Lecture 05 58:14

Lecture 06 48:12

Lecture 07 59:16

Lecture 08 57:51

Lecture 09 56:31

Lecture 10 1:00:18

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