Difference independence of the Riemann zeta function
Complex Variables
2015-06-26 v1 Number Theory
Abstract
It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions with Nevanlinna characteristic satisfying as
Cite
@article{arxiv.math/0610479,
title = {Difference independence of the Riemann zeta function},
author = {Yik-Man Chiang and Shaoji Feng},
journal= {arXiv preprint arXiv:math/0610479},
year = {2015}
}
Comments
To appear in Acta Arithmetica