Abstract

It is shown that all nontrivial zeros of the Riemann zeta function lie on the line z = 1/2 + it₀ and can be classified into two sets: normal zeros, whose numbers are uniquely restored by the value of the root, and anomalous zeros, the unique restoration of whose numbers requires the knowledge of the values of two neighboring zeros (the left and right ones). The methods of analysis applied can be useful for the study of physical phenomena related to the phase slip.

中文翻译：

---

z线上Riemann Zeta函数的零点= 1/2 + it 0 II

摘要

结果表明，Riemann zeta函数的所有非平凡零都位于z = 1/2 + it ₀线上，可以分为两组：正常零，其数字由根的值唯一地恢复；以及异常零。 ，其数字的唯一还原需要了解两个相邻零（左和右1）的值。所应用的分析方法对于研究与相移有关的物理现象可能是有用的。