黎曼假说:悬而未决的巨大挑战

IF 0.4 Q3 HISTORY & PHILOSOPHY OF SCIENCE
P. Bayer
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引用次数: 0

摘要

黎曼假设是一个关于黎曼ζ函数零点的未经证明的陈述。伯恩哈德·黎曼计算了函数的前六个非平凡零点并观察到它们都在同一条直线上。在1859年发表的一份报告中,黎曼指出,这很可能是一个普遍的事实。黎曼假设认为函数的所有非平凡零点都在直线x = 1/2上。迄今为止计算出的超过一百亿个零,都位于临界线上,与黎曼的猜想一致,但还没有人能够证明函数在这条线之外没有非平凡的零。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Riemann hypothesis: The great pending challenge
The Riemann hypothesis is an unproven statement referring to the zeros of the Riemann zeta function. Bernhard Riemann calculated the first six non-trivial zeros of the function and observed that they were all on the same straight line. In a report published in 1859, Riemann stated that this might very well be a general fact. The Riemann hypothesis claims that all non-trivial zeros of the zeta function are on the the line x = 1/2. The more than ten billion zeroes calculated to date, all of them lying on the critical line, coincide with Riemann’s suspicion, but no one has yet been able to prove that the zeta function does not have non-trivial zeroes outside of this line.
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来源期刊
Metode Science Studies Journal
Metode Science Studies Journal HISTORY & PHILOSOPHY OF SCIENCE-
CiteScore
0.80
自引率
0.00%
发文量
18
审稿时长
19 weeks
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