Geodesic
An asymptotic formula for the Taylor coefficients of the function~$\xi(s)$
Izvestiya. Mathematics , Tome 65 (2001) no. 1, pp. 85-98.

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An asymptotic formula is derived for the Taylor coefficients of the function $$ \xi(s)=\frac12s(s-1)\pi^{-s/2}\Gamma\biggl(\frac s2\biggr)\zeta(s) $$ at the point $s=1/2$. 
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     author = {L. D. Pustyl'nikov},
     title = {An asymptotic formula for the {Taylor} coefficients of the function~$\xi(s)$},
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L. D. Pustyl'nikov. An asymptotic formula for the Taylor coefficients of the function~$\xi(s)$. Izvestiya. Mathematics , Tome 65 (2001) no. 1, pp. 85-98. http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a5/

[1] Pustylnikov L. D., “Ob odnom svoistve klassicheskoi dzeta-funktsii, svyazannom s gipotezoi Rimana o nulyakh”, UMN, 54:1 (1999), 259–260 | MR

[2] Karatsuba A. A., Osnovy teorii chisel, Nauka, M., 1975 | MR | Zbl

[3] Voronin S. M., Karatsuba A. A., Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 | MR