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Difference independence of the Riemann zeta function

Yik-Man Chiang·Shaoji Feng
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Abstract

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

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Yik-Man Chiang, Shaoji Feng. 2006-10-16. Difference independence of the Riemann zeta function. https://doi.org/10.4064/aa125-4-2

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