素数计数函数中的误差项
The Error Term In The Primes Counting Function
摘要：
本文考虑素数计数函数的误差项。应用最近关于短区间上素数密度的一些结果，得到了误差项从次指数大小到分数指数大小的改进。讨论了zeta函数零点的相应等价结果和Mertens猜想。
英文摘要：
This article considers the error term of the primes counting function. It applies some recent results on the densities of prime numbers in short intervals to derive an improvement of the error term from subexponential size to fractional exponential size. The corresponding equivalent results for the zeros of the zeta function and Mertens conjecture are also discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
