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Zeros of derivatives of Riemann's ξ-function on the critical line

Journal of Number Theory, 1983
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's ξ-function on the critical line are given. In particular, it is shown that the proportion tends to one as the order of the derivative tends to infinity.
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The non-Riemannian nature of perceptual color space. [PDF]

Proc Natl Acad Sci U S A, 2022
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Series transformations and integrals involving the Riemann Ξ-function

Journal of Mathematical Analysis and Applications, 2010
Let $\psi(x):=\frac{\Gamma'(x)}{\Gamma(x)}=-\gamma-\sum_{m=0}^{\infty}\big(\frac{1}{m+x}-\frac{1}{m+1}\big)$ and $\xi(s):=(s-1)\pi^{-1/2s}\Gamma\big(1+\frac{1}{2}s\big)\zeta(s)$ be the logarithmic derivative of the gamma-function $\Gamma(x)$ and the Riemann $\xi$-function, respectively (here $\gamma$ is Euler's constant, and $\zeta(s)$ is ...
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Note on Riemann's $xi$-function.

Note on Riemann's $xi$-function.
A property of Riemann's ξ-function will be stated.
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Some results on the $\xi(s)$ and $\Xi(t)$ functions associated with Riemann's $\zeta(s)$ function

, 2016
Comment: 15 ...
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Enhanced functional connectome of cerebellum in chronic insomnia patients. [PDF]