On the Discrete Mean of the higher Derivative of Hardy's $Z$-Function

Hirotaka Kobayashi

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arXiv · 2106.01736

On the Discrete Mean of the higher Derivative of Hardy's $Z$-Function

Hirotaka Kobayashi

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Abstract

Y\i ld\i r\i m obtained an asymptotic formula of the discrete moment of $|\zeta(\frac{1}{2}+it)|$ over the zero of the higher derivatives of Hardy's $Z$-function. We give a generalization of his result on Hardy's $Z$-function.

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Hirotaka Kobayashi. 2021-06-03. On the Discrete Mean of the higher Derivative of Hardy's $Z$-Function. https://arxiv.org/abs/2106.01736

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