首页数论
0


阿兰·图灵与数论

Alan Turing and Number Theory
课程网址: http://videolectures.net/turing100_matiyasevich_number_theory/  
主讲教师: Yuri Matiyasevich
开课单位: 俄罗斯科学院
开课时间: 2012-07-10
课程语种: 英语
中文简介:
除了著名的革命贡献外,阿兰·图灵在传统数学方面也取得了许多重要的成果。尤其是他对著名的黎曼假设非常感兴趣。这个假设,由贝哈德·里曼在1859年提出,并由大卫·希尔伯特在1990年的第8个问题中提出,仍然是开放的,现在是千年问题之一。黎曼假设预测了所谓zeta函数的零的位置,而AlanTuring开发了一种严格的方法来验证初始零的假设。他还发明了一种计算zeta函数值的机器。与著名的图灵机器相反,图灵开始实施这台机器,但由于战争从未结束。
课程简介: Beside well-known revolutionary contributions, Alan Turing had a number of significant results in "traditional" mathematics. In particular he was very much interested in the famous Riemann Hypothesis. This hypothesis, stated by Berhard Riemann in 1859 and included by David Hilbert in his 8th problem in 1990, still remains open, being now one of the Millennium Problems. The Riemann Hypothesis predicts positions of zeros of so called zeta function, and Alan Turing developed a rigorous method for verifying the Hypothesis for the initial zeros. He also invented a machine for calculating the values of the zeta function. In contrast to celebrated imaginable Turing machines, Turing started to implement this machine but never finished because of the War.
关 键 词: 数学; 理论; 数论
课程来源: 视频讲座网
最后编审: 2020-06-12:邬启凡(课程编辑志愿者)
阅读次数: 79