Power, Simplicity and Beauty
定理 形如 \(\dfrac pq\)(\(p, q\) 都是素数)的全体有理数构成的集合在非负实数集中稠密. 令 \(0 \lt a \lt b\)， \(q\) 是一个素数. 那么，存在素数 \(p\), 使得 \(a \lt \frac pq\le b\) 当且仅当 \[\pi(bq) \gt \pi(aq),\] 这里 \(\pi\) 是著名的素数个数的函数. 由素数定理, …
\(\{\frac{p}{q}:p,q\text{ prime}\}\) is dense in the positive real numbers Read More张益唐暑假在北京. 7 月他在母校北京大学的北京国际数学研究中心 (BICMR) 有一个系列的学术报告: Distribution of Prime Numbers and the Riemann Zeta Function I, II, III. 这个报告分三场, 原定时间是 July 8, 10, 15, 2014 16:00-17:00, 地点是镜春园 78 号院的 77201 室. BICMR 官网上这个报告的 Abstract …
Yitang Zhang at BICMR: Distribution of Prime Numbers and the Riemann Zeta Function Read More8月 23 日, 26日上午, 张益唐在晨兴数学中心(Morningside Center of Mathematics, Chinese Academy of Sciences)110 房间以 “Distribution of Prime Numbers” 为题, 做了更细节的讲解. 23 日 Part 2 Part 3 Part 4 26 …
Yitang Zhang at Morningside Center of Mathematics: Distribution of Prime Numbers Read More今天下午 16:00, 张益唐在北京大学的北京国际数学研究中心(BICMR)报告厅做了题为 “Problems from the distribution of primes” 讲座, 这是他回母校做的关于素数分布问题的报告. 今天的报告会由田刚主持. 张益唐的开场白是这样的: “谢谢大家!(掌声) 谢谢大家! 感谢!(麦克风的噪音) 我这样说话, 你们能听到, 没问题吗? 而且我来讲话的话, 声音会越来越大.(笑声) 今天来到这里来, 回到我的母校, 我觉得很高兴给大家讲. 首先我要提到, 我要感谢在我求学的时候, 指导过我的, 教过我的老师, (做个指向潘老师的动作)潘承彪老师! 还有…(掌声) 还有很多很多老师, …
Yitang Zhang’s Peking University Lecture: Problems from the distribution of primes Read More8 月 23 日下午 15:00, 张益唐在清华大学主楼三层接待厅做了题为 “Bounded gaps between primes and relevant problems” 的报告, 这是今年清华大学的华罗庚数学讲座(Loo-Keng Hua Distinguished Lecture). 很荣幸, 14:50 过一点点, 我正要踏完主楼的最后几级台阶, 一辆轿车停下来, 一个老人下来了. 这背影好眼熟, 原来是杨振宁! 哎呀, 张益唐的成就过于突出, 把物理学家都吸引来了! 在此, …
Yitang Zhang’s Tsinghua University Loo-Keng Hua Distinguished Lecture: Bounded gaps between primes and relevant problems Read More8 月 22 日上午 9:00, 张益唐在中科院数学与系统科学研究院(Academy of Mathematics and Systems Science (AMSS) in the Chinese Academy of Sciences (CAS)) 做了题为 “Prime gaps and related problems” 的讲座, 这是今年中科院的华罗庚数学讲座(Loo-Keng Hua Distinguished Lecture). …
Yitang Zhang’s Loo-Keng Hua Distinguished Lecture at AMSS: Prime gaps and related problems Read MoreBusy day in analytic number theory On May 13, 2013, Harald Andres Helfgott uploaded to the arXiv his paper “Major arcs for Goldbach’s theorem” claimed that he has proved the ternary Goldbach conjecture, …
Harald Helfgott has proved Goldbach’s weak conjecture Read MoreOn 14 May 2013, Mathematician Yitang Zhang claimed that he has proved there are infinitely many prime gaps shorter than 70 million, which was a weak version of the twin prime conjecture. …
Yitang Zhang has proved a weak version of the twin prime conjecture Read More