论文标题
Mertens功能的界限
Bounds of the Mertens Function
论文作者
论文摘要
在本文中,我们得出了Mertens函数的新属性,并讨论了Mertens函数$ \ sqrt {\ log {x!}}}> | m(x)| $ x> 1 $ $的绝对值上限。使用这种可能的约束,我们表明我们有足够的条件来证明Riemann假设。
In this paper, we derive new properties of the Mertens function and discuss a likely upper bound of the absolute value of the Mertens function $\sqrt{\log{x!}}>|M(x)|$ when $x>1$. Using this likely bound we show that we have a sufficient condition to prove the Riemann Hypothesis.