Qi Han

activity

20182021

collaborators

Showing math.CVShow all

3 papers · 1 filter

math.CV2021

On generalized Fermat Diophantine functional and partial differential equations in $C^{2}$

Wei Chen, Qi Han, Qiong Wang

In this paper, we characterize meromorphic solutions $f (z_{1}, z_{2}), g (z_{1}, z_{2})$ to the generalized Fermat Diophantine functional equations $h (z_{1}, z_{2}) f^{m} + k (z_{1}, z_{2}) g^{n} = 1$ in $\mathbf{…

math.CV2019

On the value distribution of the Riemann zeta-function and the Euler gamma-function

Qi Han, Jingbo Liu, Qiong Wang

We prove some uniqueness results for the Riemann zeta-function and the Euler gamma-function by virtue of shared values using the value distribution theory.

math.CV2018

Algebraic differential independence regarding the Riemann $ζ$ -function and the Euler $Γ$ -function

Qi Han, Jingbo Liu

In this paper, we prove that $ζ$ cannot be a solution to any nontrivial algebraic differential equation whose coefficients are polynomials in $\boldsymbolΓ,\boldsymbolΓ^…

On generalized Fermat Diophantine functional and partial differential equations in C2

On the value distribution of the Riemann zeta-function and the Euler gamma-function

Algebraic differential independence regarding the Riemann ζ-function and the Euler Γ-function

On generalized Fermat Diophantine functional and partial differential equations in $C^{2}$

Algebraic differential independence regarding the Riemann $ζ$ -function and the Euler $Γ$ -function