On the limit measure for the Laplace transform of the Riemann zeta-function (Q2480679)
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scientific article
| Language | Label | Description | Also known as |
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| English | On the limit measure for the Laplace transform of the Riemann zeta-function |
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On the limit measure for the Laplace transform of the Riemann zeta-function (English)
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3 April 2008
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Let \[ L(s)= \int_0^\infty\left| \zeta \left(\frac12+ix\right)\right| ^2e^{-sx} \,dx \] be the Laplace transform of the Riemann zeta-function \(\zeta(s)\). In [Integral Transforms Spec. Funct. 17, No. 7, 521--529 (2006; Zbl 1098.44001)], the author proved limit theorems in the space of analytic functions and on the complex plane for \(L(s)\). Here he identifies the limit measures in these limit theorems.
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Hamel basis
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Laplace transform
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limit theorem
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probability measure
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Riemann zeta-function
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0.8319739699363708
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0.8315255045890808
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