Riemann假设一个等价命题的证明
Proof of an Equivalent Proposition of Riemann Hypothesis
运用Chebyshev函数与素数定理等证明：存在正常数A，对所有自然数n≥A，那么有 exp(Hn)log(Hn)—σ(n)﹥eγnloglogn—σ(n)﹥0. 这里σ(n)是自然数n的所有因子和，Hn是1到n的所有自然数的倒数之和。由Robin定理，Riemann假设被证明成立。
Using Chebyshev function and prime number theorem, this paper proves that, there exists a positive constant A, such that for all natural numbers n≥A, exp(Hn)log(Hn)-σ(n)﹥eγnloglogn-σ(n)﹥0. According to Robin theorem, the Riemann Hypothesis is proved. Where Hn is the reciprocal sum of all natural numbers from 1 to n.
朱玉扬
数学
Riemann 假设非平凡零点调和数不等式素数
Riemann hypothesisnon-trivial zerosharmonic numberinequalityprime number
朱玉扬.Riemann假设一个等价命题的证明[EB/OL].(2016-12-19)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201612-375.点此复制
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