Algebraic differential independence regarding the Riemann $\boldsymbolζ$-function and the Euler $\boldsymbolΓ$-function
Year: 2018
Type: preprint
Abstract: In this paper, we prove that $\boldsymbolζ$ cannot be a solution to any nontrivial algebraic differential equation whose coefficients are polynomials in $\boldsymbolΓ,\boldsymbolΓ^{(n)}$ and $\boldsymbolΓ^{(\ell n)}$ over the ring of polynomials in $\mathbf{C}$, where $\ell,n\geq1$ are positive integers.
Source: arXiv (Cornell University)
Authors: Han, Qi, Liu, Jingbo
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2995134638