Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
碩士 === 國立臺灣大學 === 數學研究所 === 99 === This paper is a survey on explicit formulas for the Hilbert symbol on Lubin-Tate formal groups due to I.B.Fesenko, S.V.Vostokov and A.Wiles. I also give applications of Kummer''s formula to Von Staudt congruence, Kummer''s lemma,...
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| Format: | Others |
| Language: | zh-TW |
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2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/82787452144040617873 |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 99 === This paper is a survey on explicit formulas for the Hilbert symbol on Lubin-Tate formal groups due to I.B.Fesenko, S.V.Vostokov and A.Wiles. I also give applications of Kummer''s formula to Von Staudt congruence, Kummer''s lemma, and Ankeny-Artin-Chowla congruence.
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