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

Abstract

Yıldırım 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.

28pages

References in corpus (1)

• On the higher derivatives of Z(t) associated with the Riemann Zeta-Function