Difference independence of the Riemann zeta function

Details Difference independence of the Riemann zeta function Difference independence of the Riemann zeta function

2006-10-16

arxiv.org/abs/math/0610479v1

Acta. Arith., 125 (4) 2006, 317-329

Mathematics

Complex Variables

To appear in Acta Arithmetica

Scientific paper

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

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