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 $s=1/2$. 
@article{IM2_2001_65_1_a5,
     author = {L. D. Pustyl'nikov},
     title = {An asymptotic formula for the {Taylor} coefficients of the function~$\xi(s)$},
     journal = {Izvestiya. Mathematics },
     pages = {85--98},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a5/}
}
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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/