Class Numbers and Its Applications

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === In this thesis, I will introduce what are ideal class groups and class numbers of a number field which are used by Kummer to solve part of Fermat’s Last Theorem. Also, I will introduce some of their properties, and a method called Minkowski’s bound to calcul...

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Main Authors:	Chung-HsuanWang, 王崇亘
Other Authors:	Po-Yi Huang
Format:	Others
Language:	en_US
Published:	2018
Online Access:	http://ndltd.ncl.edu.tw/handle/8mzhd3

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spelling	ndltd-TW-106NCKU55070082019-05-16T01:07:58Z http://ndltd.ncl.edu.tw/handle/8mzhd3 Class Numbers and Its Applications 類數及其應用 Chung-HsuanWang 王崇亘碩士國立成功大學數學系應用數學碩博士班 106 In this thesis, I will introduce what are ideal class groups and class numbers of a number field which are used by Kummer to solve part of Fermat’s Last Theorem. Also, I will introduce some of their properties, and a method called Minkowski’s bound to calculate the class numbers. Then I will give three applications of class numbers. Po-Yi Huang 黃柏嶧 2018 學位論文 ; thesis 21 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === In this thesis, I will introduce what are ideal class groups and class numbers of a number field which are used by Kummer to solve part of Fermat’s Last Theorem. Also, I will introduce some of their properties, and a method called Minkowski’s bound to calculate the class numbers. Then I will give three applications of class numbers.
author2	Po-Yi Huang
author_facet	Po-Yi Huang Chung-HsuanWang 王崇亘
author	Chung-HsuanWang 王崇亘
spellingShingle	Chung-HsuanWang 王崇亘 Class Numbers and Its Applications
author_sort	Chung-HsuanWang
title	Class Numbers and Its Applications
title_short	Class Numbers and Its Applications
title_full	Class Numbers and Its Applications
title_fullStr	Class Numbers and Its Applications
title_full_unstemmed	Class Numbers and Its Applications
title_sort	class numbers and its applications
publishDate	2018
url	http://ndltd.ncl.edu.tw/handle/8mzhd3
work_keys_str_mv	AT chunghsuanwang classnumbersanditsapplications AT wángchónggèn classnumbersanditsapplications AT chunghsuanwang lèishùjíqíyīngyòng AT wángchónggèn lèishùjíqíyīngyòng
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Class Numbers and Its Applications

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