A STILL SHARPER REGION WHERE pi(x) - li(x) IS POSITIVE

作者：Saouter Yannick^*; Trudgian Timothy; Demichel Patrick

来源：Mathematics of Computation, 2015, 84(295): 2433-2446.

We consider the least number x for which a change of sign of p(x)- li(x) occurs. First, we consider modifications of Lehman's method that enable us to obtain better estimates of some error terms. Second, we establish a new smaller upper bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.

• 出版日期2015-9