English

On differential independence of $\mathbold{\zeta}$ and $\mathbold{\Gamma}$

Number Theory 2018-12-04 v2

Abstract

In this note, we will prove that \mathboldζ\mathbold{\zeta} and \mathboldΓ\mathbold{\Gamma} can not satisfy any differential equation generated through a family of functions continuous in \mathboldζ\mathbold{\zeta} with polynomials in \mathboldΓ\mathbold{\Gamma}.

Keywords

Cite

@article{arxiv.1811.09336,
  title  = {On differential independence of $\mathbold{\zeta}$ and $\mathbold{\Gamma}$},
  author = {Qi Han and Jingbo Liu},
  journal= {arXiv preprint arXiv:1811.09336},
  year   = {2018}
}