论文标题
修改后的默滕公式中剩余的RH依赖性估计值
RH-Dependent Estimates of Remainder in Modified Mertens Formula
论文作者
论文摘要
假设Riemann假设(RH)的有效性,我们得出了修饰的默丁斯渐近公式中其余部分的显式双边估计值(“狭窄”),以供Primes的倒数量。这些结果是可逆的,因此产生了RH的一些新标准。
Assuming the validity of Riemann Hypothesis (RH), we derive the explicit bilateral estimates ("narrow passage") of the remainder in the modified Mertens asymptotic formula for the sums of primes' reciprocals. These results are reversable, thus yielding some new criteria for RH.