摘要
黎曼假设等价于黎曼ξ-函数的所有零点是实的。黎曼假设成立的必要条件是黎曼ξ-函数的泰乐系数满足Turán不等式。本文给出Turán不等式成立的一个新的简单证明。
The Riemann hypothesis is equivalent to the statement that all zeros of the Riemann ξ-function are real. A necessary condition for the Riemann hypothesis to hold is that the Turan inequalities hold, involving the Taylor coefficients of the Riemann ξ-function. A new simplicity proof of the Turan inequalities is given.
出处
《交通科学与工程》
1993年第3期1-11,共11页
Journal of Transport Science and Engineering
