Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function (Q678732)
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scientific article; zbMATH DE number 1003990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function |
scientific article; zbMATH DE number 1003990 |
Statements
Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function (English)
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1 October 1997
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It is shown that the Riemann hypothesis is a consequence of a growth condition for a sequence of numbers associated with Hermite functions \(h_n\), which are solutions of the second-order differential equation \[ y''(x)+(2n+1-x^2)y(x)=0. \]
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Riemann hypothesis
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growth condition
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Hermite functions
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