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Asymptotics of an ordinary differential equation and the Riemann hypothesis - MaRDI portal

Asymptotics of an ordinary differential equation and the Riemann hypothesis (Q920255)

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scientific article; zbMATH DE number 4163272
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Asymptotics of an ordinary differential equation and the Riemann hypothesis
scientific article; zbMATH DE number 4163272

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    Asymptotics of an ordinary differential equation and the Riemann hypothesis (English)
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    1990
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    The author derives a reformulation of the well-known Riemann hypothesis, viz. that all of the non-real zeros for \(\rho (s)=\sum^{\infty}_{n=1}n^{-s}\), lie on the line Re s\(=\), in terms of the asymptotic behaviour of the solutions of a certain real linear differential equation of singular S-L type.
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    Riemann hypothesis
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