摘要: Let $[a_0,a_1,\cdots,a_{N}]$ be a finite simple continuedfraction,and let $p_n$ and $q_n$ be the numbers defined in Exercise10.Prove that \begin{equ... 阅读全文
posted @ 2012-11-27 15:56 叶卢庆 阅读(128) 评论(0) 推荐(0)
摘要: Let $[a_0,a_1,\cdots,a_{N}]$ be a finite simple continuedfraction,and let $p_n$ and $q_n$ be the numbers defined in Exercise10.Prove that \begin{equ... 阅读全文
posted @ 2012-11-27 15:56 叶卢庆 阅读(145) 评论(0) 推荐(0)
摘要: 要证明形成一个阿贝尔群是很简单的,无非就是去掉整数部分取小数部分嘛.那个群同态的核,无非就是整数集合嘛! 阅读全文
posted @ 2012-11-27 13:39 叶卢庆 阅读(117) 评论(0) 推荐(0)
摘要: 要证明形成一个阿贝尔群是很简单的,无非就是去掉整数部分取小数部分嘛.那个群同态的核,无非就是整数集合嘛! 阅读全文
posted @ 2012-11-27 13:39 叶卢庆 阅读(120) 评论(0) 推荐(0)
摘要: Let $H_3(\mathbf{Z})$ be the set of all matrices of the form\begin{equation} \begin{pmatrix} 1&a&c\\0&1&b\\0&0&1\\ \end{pmatrix}\end{equation}wit... 阅读全文
posted @ 2012-11-27 02:10 叶卢庆 阅读(112) 评论(0) 推荐(0)
摘要: Let $H_3(\mathbf{Z})$ be the set of all matrices of the form\begin{equation} \begin{pmatrix} 1&a&c\\0&1&b\\0&0&1\\ \end{pmatrix}\end{equation}wit... 阅读全文
posted @ 2012-11-27 02:10 叶卢庆 阅读(117) 评论(0) 推荐(0)
摘要: Let $G$ be the set of all matrices of the form\begin{equation} \begin{pmatrix} 1&a\\0&1\\ \end{pmatrix}\end{equation}with $a\in \mathbf{Z}$ and m... 阅读全文
posted @ 2012-11-27 01:04 叶卢庆 阅读(118) 评论(0) 推荐(0)
摘要: Let $G$ be the set of all matrices of the form\begin{equation} \begin{pmatrix} 1&a\\0&1\\ \end{pmatrix}\end{equation}with $a\in \mathbf{Z}$ and m... 阅读全文
posted @ 2012-11-27 01:04 叶卢庆 阅读(110) 评论(0) 推荐(0)
摘要: Let$$ (x_0,x_1,\cdots,x_n)\in S=\mathbf{Q}\backslash \{(0,0,\cdots,0\}$$Let $[(x_0,x_1,\cdots,x_n)]$ denote the equivalence class of $(x_0,x_1,\cdots,... 阅读全文
posted @ 2012-11-27 00:41 叶卢庆 阅读(134) 评论(0) 推荐(0)
摘要: Let$$ (x_0,x_1,\cdots,x_n)\in S=\mathbf{Q}\backslash \{(0,0,\cdots,0\}$$Let $[(x_0,x_1,\cdots,x_n)]$ denote the equivalence class of $(x_0,x_1,\cdots,... 阅读全文
posted @ 2012-11-27 00:41 叶卢庆 阅读(124) 评论(0) 推荐(0)