Research PaperNo Access

On some discrete mean values of higher derivatives of Hardy’s $Z$ -function

Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya 464-8602, Japan

E-mail Address: m17011z@math.nagoya-u.ac.jp

https://doi.org/10.1142/S1793042124500325Cited by:0 (Source: Crossref)

Abstract

Yıldırım obtained an asymptotic formula of the discrete moment of $| ζ (\frac{1}{2} + i t) |$ over the zero of the higher derivatives of Hardy’s $Z$ -function. We give a generalization of his result on Hardy’s $Z$ -function.

Keywords:

AMSC: 11M06, 11M26

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