探討p進位數之分析

在這篇論文裡, 我們探討體中之賦值的一般理論. 最主要的, 我們證明了多個賦值等價條件. 進而我們探討p進位數體中的分析, 得到ㄧ些新的現象與例子. === In this thesis, we study some general theory of valuations on a field. Especially, we obtain several equivalent conditions on the equivalence of two valuations on a field, some of them are new in the literature. Moreover,...

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Main Authors: 陳薇, Chen, Wei
Language:英文
Published: 國立政治大學
Subjects:
Online Access:http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0095751014%22.
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spelling ndltd-CHENGCHI-G00957510142013-01-07T19:33:46Z 探討p進位數之分析 On some p-adic analysis 陳薇 Chen, Wei p進位數 賦 p-adic valuation valuated field 在這篇論文裡, 我們探討體中之賦值的一般理論. 最主要的, 我們證明了多個賦值等價條件. 進而我們探討p進位數體中的分析, 得到ㄧ些新的現象與例子. In this thesis, we study some general theory of valuations on a field. Especially, we obtain several equivalent conditions on the equivalence of two valuations on a field, some of them are new in the literature. Moreover, we study the $p$-adic analysis on the p-adic number fields and obtain some new phenomena and examples. 國立政治大學 http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0095751014%22. text 英文 Copyright © nccu library on behalf of the copyright holders
collection NDLTD
language 英文
sources NDLTD
topic p進位數

p-adic
valuation
valuated field
spellingShingle p進位數

p-adic
valuation
valuated field
陳薇
Chen, Wei
探討p進位數之分析
description 在這篇論文裡, 我們探討體中之賦值的一般理論. 最主要的, 我們證明了多個賦值等價條件. 進而我們探討p進位數體中的分析, 得到ㄧ些新的現象與例子. === In this thesis, we study some general theory of valuations on a field. Especially, we obtain several equivalent conditions on the equivalence of two valuations on a field, some of them are new in the literature. Moreover, we study the $p$-adic analysis on the p-adic number fields and obtain some new phenomena and examples.
author 陳薇
Chen, Wei
author_facet 陳薇
Chen, Wei
author_sort 陳薇
title 探討p進位數之分析
title_short 探討p進位數之分析
title_full 探討p進位數之分析
title_fullStr 探討p進位數之分析
title_full_unstemmed 探討p進位數之分析
title_sort 探討p進位數之分析
publisher 國立政治大學
url http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0095751014%22.
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AT chenwei tàntǎopjìnwèishùzhīfēnxī
AT chénwēi onsomepadicanalysis
AT chenwei onsomepadicanalysis
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