Geodesic
On simple zeros of derivatives of the Riemann $\xi$-function
Izvestiya. Mathematics, Tome 70 (2006) no. 2, pp. 265-276 Cet article a éte moissonné depuis la source Math-Net.Ru

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We get a lower bound for the number of simple zeros of the function $\xi^{(k)}(s)$ on the critical line, where $k\ge1$. 
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     title = {On simple zeros of derivatives of the {Riemann} $\xi$-function},
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I. S. Rezvyakova. On simple zeros of derivatives of the Riemann $\xi$-function. Izvestiya. Mathematics, Tome 70 (2006) no. 2, pp. 265-276. http://geodesic.mathdoc.fr/item/IM2_2006_70_2_a2/

[1] Rezvyakova I. S., “O nulyakh proizvodnykh ksi-funktsii Rimana”, Izv. RAN. Ser. matem., 69:3 (2005), 109–178 | MR | Zbl

[2] Conrey B., “Zeros of derivatives of Riemann's $\xi$-function on the critical line. II”, J. of Number Theory, 17 (1983), 71–75 | DOI | MR | Zbl

[3] Siegel C. L., “Über Riemanns Nachlaß zur analytischen Zahlentheorie”, Quellen Stud. Geschichte Math. Astronom. Phys. Abt. B. Stud. 2, 1932, 45–80 | Zbl

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