Welcome to the resource topic for
**2024/1412**

**Title:**

The Zeros of Zeta Function Revisited

**Authors:**
Zhengjun Cao, Lihua Liu

**Abstract:**

Let \zeta(z)=\sum_{n=1}^{\infty} \frac{1}{n^z}, \psi(z)=\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{n^z}, z\in \mathbb{C}. We show that \psi(z)\not=(1-2^{1-z})\zeta(z), if 0<1. Besides, we clarify that the known zeros are not for the original series, but very probably for the alternating series.

**ePrint:**
https://eprint.iacr.org/2024/1412

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