Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广)
利用代数数论的方法,把整数环上的Gauss定理推广到理想m的剩余类群.上,得到同余式,其中e(2)是中阶为2的幂次的基的个数,h =φ(m)是中与m互素的理想个数.
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2005-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/zjup/1008-9497.2005.32.3.251-252 |
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author | YUChen-yan(余琛妍) ZHOUXia(周侠) |
author_facet | YUChen-yan(余琛妍) ZHOUXia(周侠) |
author_sort | YUChen-yan(余琛妍) |
collection | DOAJ |
description | 利用代数数论的方法,把整数环上的Gauss定理推广到理想m的剩余类群.上,得到同余式,其中e(2)是中阶为2的幂次的基的个数,h =φ(m)是中与m互素的理想个数. |
first_indexed | 2024-04-24T17:02:09Z |
format | Article |
id | doaj.art-146f417882434f1f84d77d5f9b5c230a |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T17:02:09Z |
publishDate | 2005-05-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
spelling | doaj.art-146f417882434f1f84d77d5f9b5c230a2024-03-29T01:58:21ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972005-05-01323251252zjup/1008-9497.2005.32.3.251-252Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广)YUChen-yan(余琛妍)0ZHOUXia(周侠)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系,浙江 杭州 310028) 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系,浙江 杭州 310028)利用代数数论的方法,把整数环上的Gauss定理推广到理想m的剩余类群.上,得到同余式,其中e(2)是中阶为2的幂次的基的个数,h =φ(m)是中与m互素的理想个数.https://doi.org/zjup/1008-9497.2005.32.3.251-252mod m的剩余类群gauss定理互素的理想 |
spellingShingle | YUChen-yan(余琛妍) ZHOUXia(周侠) Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) Zhejiang Daxue xuebao. Lixue ban mod m的剩余类群 gauss定理 互素的理想 |
title | Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) |
title_full | Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) |
title_fullStr | Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) |
title_full_unstemmed | Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) |
title_short | Generlization of Gauss' theorem on the groups of residue classes mod m(理想剩余类群上Gauss定理的推广) |
title_sort | generlization of gauss theorem on the groups of residue classes mod m 理想剩余类群上gauss定理的推广 |
topic | mod m的剩余类群 gauss定理 互素的理想 |
url | https://doi.org/zjup/1008-9497.2005.32.3.251-252 |
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