摘要
利用Jacobi函数方程和Schwarz反射原理,给出Riemann zeta函数零点满足的方程,进而推得零点均落在实部为1/2的临界线上。如此,所有与Riemann猜想等价的命题和以Riemann假设作为前提条件的结论都成立。
Using the properties of theta-series（Jacobi functional equation）and the Schwarz reflection principle,this paper presents an equation which meets the zeros of Riemann Zeta function and it is then deduced that all zeros are on the critical line where the real part is 1/2.Thus,all propositions equivalent to Riemann hypothesis and all conclusions with Riemann hypothesis as preconditions are true.
出处
《山东科技大学学报（自然科学版）》
CAS
2016年第1期97-101,共5页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
黎曼猜想
Jacobi函数方程
反射原理
Riemann hypothesis（RH）
Jacobi functional equation
reflection principle
