17 citations · 19 across the 9 of their papers we have counts for
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math.NT2018
On differential independence of $\mathboldζ$ and $\mathboldΓ$
Qi Han, Jingbo Liu
In this note, we will prove that $\mathboldζ$ and $\mathboldΓ$ can not satisfy any differential equation generated through a family of functions continuous in $\mathboldζ$ with pol…
math.CV2018
Algebraic differential independence regarding the Riemann -function and the Euler -function
Qi Han, Jingbo Liu
In this paper, we prove that cannot be a solution to any nontrivial algebraic differential equation whose coefficients are polynomials in $\boldsymbolΓ,\boldsymbolΓ^…
math.NT2018
Universal sums of -gonal numbers
Ben Kane, Jingbo Liu
In this paper we study universal quadratic polynomials which arise as sums of polygonal numbers. Specifically, we determine an asymptotic upper bound (as a function of ) on the…