Difference independence of the Riemann zeta function
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🧮 math.CV
math.NT
keywords
differencefunctionriemannzetaalgebraiccharacteristiccoefficientsequation
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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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