Tao Liu

activity

20182025

most citedA Proof of Riemann Hypothesis

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GM2025

Davenport-Heilbronn Function Ratio Properties and Non-Trivial Zeros Study

Tao Liu, Juhao Wu

This paper systematically investigates the analytic properties of the ratio $f (s) / f (1 - s) = X (s)$ based on the Davenport-Heilbronn functional equation $f (s) = X (s) f (1 - s)$ . We propos…

math.NT2020

A few properties of the ratio of Davenport-Heilbronn Functions

Tao Liu, Juhao Wu

Starting from the Davenport-Heilbronn function equation: $f (s) = X (s) f (1 - s)$ , we discover the four properties of the meromorphic function $X (s)$ defined as the ratio of the Davenp…

math.GM2019★ 1 cited

A Proof of Riemann Hypothesis

Tao Liu, Juhao Wu

The meromorphic function $W (s)$ introduced in the Riemann-Zeta function $ζ (s) = W (s) ζ (1 - s)$ maps the line of $s = 1/2 + i t$ onto the unit circle in $W$ -space. $∣ W (s) ∣ = 0$ gives t…

math.DG2018

Rigidity of spacelike translating solitons in pseudo-Euclidean space

Ruiwei Xu, Tao Liu

In this paper, we investigate the parametric version and non-parametric version of rigidity theorem of spacelike translating solitons in pseudo-Euclidean space $\mathbb{R}^{m+n}_{n…