The Local-Global Principle in Number Theory
碩士 === 國立臺灣師範大學 === 數學系 === 102 === In this thesis, we investigate one of the most important topics in arithmetic: the local-global principle. As a first example, we will present the well-known Hasse-Minkowski Theorem for Q and give some of its applications. The second example will be the Hasse pr...
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| Format: | Others |
| Language: | en_US |
| Published: |
2014
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| Online Access: | http://ndltd.ncl.edu.tw/handle/88549720244038543284 |
| Summary: | 碩士 === 國立臺灣師範大學 === 數學系 === 102 === In this thesis, we investigate one of the most important topics in arithmetic: the local-global principle. As a first example, we will present the well-known Hasse-Minkowski Theorem for Q and give some of its applications. The second example will be the Hasse principle for powers. The third one, we would like to discuss the Hasse-Minkowski Theorem for F_p(t) with p≠2. Finally, we will study some counterexamples to the local-global principle.
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