Abstract

The Fourier transform associated with the normalized logarithm of the modulus of the Riemann Zeta Function is considered. The formulas linking the Fourier transform and the zeros of the Riemann function are established that lead to the necessary and sufficient condition of satisfaction of the Riemann hypothesis.

中文翻译：

---

与黎曼Zeta函数相关的傅立叶变换

摘要

考虑与黎曼Zeta函数模量的归一化对数关联的傅立叶变换。建立了将傅里叶变换和Riemann函数的零点联系起来的公式，这些公式导致满足Riemann假设的必要条件和充分条件。