Difference independence of the Riemann zeta function

Abstract

It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions $\varphi$ with Nevanlinna characteristic satisfying $T(r,\varphi )=o(r)$ as $r\to \infty$

To appear in Acta Arithmetica

Cited by in corpus (1)

• σ-Galois theory of linear difference equations