Power, Simplicity and Beauty
number theory
Annals, Volume 179, Issue 3 – May 2014, has just been published online. Yitang Zhang’s paper “Bounded gaps between primes” is the seventh paper, Pages 1121-1174. 虽然张的论文去年 5 月就已经可以下载, 但现在才是正式出版. 多数文章, 都是依靠 Annals 得到荣耀, …
Annals has just published Yitang Zhang’s paper Read MoreYitang Zhang wins the 2014 Rolf Schock Prize in Mathematics, for his spectacular breakthrough concerning the possibility of an infinite number of twin primes. The Royal Swedish Academy of Sciences decided …
The 2014 Rolf Schock Prize in Mathematics is confered to Yitang Zhang Read MoreActa Arithmetica(ISSN: 0065-1036(print) 1730-6264(online)) is a scientific journal of mathematics publishing papers on number theory. It was established in 1935 by Salomon Lubelski and Arnold Walfisz. The journal is published …
Acta Arithmetica Read More黎景辉, 赵春来合著的 “模曲线导引(Introduction to Modular Curves)” 出了新版. 北京大学出版社(Peking University press) 2014 年 1 月已出第二版. 本书的目的在于介绍模形式的几何理论的背景知识. 本书可供数学系的研究生作为教材, 也可以供从事数论, 代数几何等专业的数学工作者使用. 作者在2002年出版本书第一版之后, 近些年又做了大量的修订, 使得该书的内容更完善更前沿. 就内容而言, 首先是修正了一些错误. 其次, 第一章从范畴开始, 附带 Abel 范畴, 第四章谈到了 2-范畴理念, …
Introduction to Modular Curves(Second Edition) Read MoreThe 2014 Wolf Prize in Mathematics is awarded to Peter Sarnak, for his deep contributions in analysis, number theory, geometry, and combinatorics. Peter Sarnak is on the permanent faculty at the School of …
Peter Sarnak wins the 2014 Wolf Prize in Mathematics Read MoreProfessor Gerd Faltings, winner of the prize in science, is the Director at the Max-Planck Institute for Mathematics in Bonn. He has made groundbreaking contributions to algebraic geometry and number …
Gerd Faltings wins King Faisal International Prize in science for the year 2014 Read More数学一入深似海, 从此红尘是路人 华罗庚 数论导引 堆垒素数论 指数和的估计及其在数论中的应用 闵嗣鹤 数论的方法 潘承洞 潘承彪 哥德巴赫猜想 模形式导引 解析数论基础 代数数论 素数定理的初等证明 初等数论 第三版 陆洪文 二次数域的高斯猜想 模形式讲义 黎景辉 赵春来 蓝以中 模曲线导引 第二版 黎景辉 赵春来 二阶矩阵群的表示与自守形式 黎景辉 蓝以中 …
Chinese number theory books Read More很偶然的, 看到了几个韩京俊传出来的数论问题. 据说问题来自牟晓生. 设 \(p\) 为大于 \(3\) 的素数, 证明 \(\dfrac{p^p-1}{p-1}\) 和 \(\dfrac{p^p+1}{p+1}\) 不能都是素数幂; 设 \(n\gt5\), 证明 \(n!\) 不能整除它的正约数之和; 设 \(A\), \(B\) 划分正整数集, 如果\(A+A\) 和 \(B+B\) 都只含有有限个素数, 证明\(A\) 或 \(B\) 是全体奇数的集合; …
Number theory problems from Xiaosheng Mou Read More