An asymptotic formula for the Taylor coefficients of the function \(\xi(s)\) (Q2759280)
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scientific article; zbMATH DE number 1681685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An asymptotic formula for the Taylor coefficients of the function \(\xi(s)\) |
scientific article; zbMATH DE number 1681685 |
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3 January 2002
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Riemann xi function
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Taylor series
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asymptotic formula
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0.92861444
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0.88042307
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0.8776499
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0.87330663
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0.86551994
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0.85835826
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An asymptotic formula for the Taylor coefficients of the function \(\xi(s)\) (English)
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An asymptotic formula is derived for the Taylor coefficients of the function \(\xi(s)={1\over 2}s(s-1)\pi^{-s/2}\Gamma(s/2)\zeta(s)\) at the point \(s=1/2\). See also the author's paper [Russ. Math. Surv. 55, 349-350 (2000); translation from Usp. Mat. Nauk 55, No. 2, 145-146 (2000; Zbl 0967.11032)].
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