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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Main Authors:	Shih-Yu Chen, 陳昰宇
Other Authors:	于靖
Format:	Others
Language:	zh-TW
Published:	2011
Online Access:	http://ndltd.ncl.edu.tw/handle/82787452144040617873

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spelling	ndltd-TW-099NTU054790082015-10-16T04:02:49Z http://ndltd.ncl.edu.tw/handle/82787452144040617873 Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications 形式群上的希爾伯特符號之公式及其應用 Shih-Yu Chen 陳昰宇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. 于靖 2011 學位論文 ; thesis 82 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	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.
author2	于靖
author_facet	于靖 Shih-Yu Chen 陳昰宇
author	Shih-Yu Chen 陳昰宇
spellingShingle	Shih-Yu Chen 陳昰宇 Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
author_sort	Shih-Yu Chen
title	Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
title_short	Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
title_full	Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
title_fullStr	Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
title_full_unstemmed	Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications
title_sort	explicit formulas for the hilbert symbol on lubin-tate formal groups and its applications
publishDate	2011
url	http://ndltd.ncl.edu.tw/handle/82787452144040617873
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Explicit Formulas for the Hilbert Symbol on Lubin-Tate Formal Groups and its Applications

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