article

Title: Algebraic differential equations concerning the Riemann zeta function and the Euler gamma function

Authors: Bao Qin Li and Zhuan Ye

Issue: Volume 59 (2010), Issue 4, 1405-1416

Abstract:

$We prove that the Riemann zeta-function is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in $\Gamma$, $\Gamma'$ and $\Gamma''$ over the field of complex numbers.$