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The Nevanlinna functions of the Riemann zeta-function - MaRDI portal

The Nevanlinna functions of the Riemann zeta-function (Q1289064)

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scientific article; zbMATH DE number 1289971
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The Nevanlinna functions of the Riemann zeta-function
scientific article; zbMATH DE number 1289971

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    The Nevanlinna functions of the Riemann zeta-function (English)
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    9 November 1999
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    The author computes the Nevanlinna characteristic function, the Nevanlinna deficiencies for each \(a\) in \(\mathbb{C}\cup \{\infty\}\) and the Nevanlinna counting functions for the Riemann zeta-function. These results are of special interest because of the recent discovery of analogies between number theory and Nevanlinna theory.
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    Nevanlinna characteristic function
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    Nevanlinna deficiencies
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    Nevanlinna counting functions
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    Riemann zeta-function
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