Geodesic
Zeros of the derivatives of the Riemann $\xi$-function
Izvestiya. Mathematics , Tome 69 (2005) no. 3, pp. 539-605

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We show that the proportion of the zeros of the $k$th derivative of the Riemann $\xi$-function (where $k\geqslant1$ is an integer) that are on the critical line is greater than $1-\frac{3}{5}\,k^{-2}$. 
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     author = {I. S. Rezvyakova},
     title = {Zeros of the derivatives of the {Riemann} $\xi$-function},
     journal = {Izvestiya. Mathematics },
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     volume = {69},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2005_69_3_a3/}
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I. S. Rezvyakova. Zeros of the derivatives of the Riemann $\xi$-function. Izvestiya. Mathematics , Tome 69 (2005) no. 3, pp. 539-605. http://geodesic.mathdoc.fr/item/IM2_2005_69_3_a3/