On Some Sums at the a-points of Derivatives of the Riemann Zeta-Function.

Let ζ(k)(s) be the k-th derivative of the Riemann zeta function and a be a complex number. The solutions of ζ(k)(s) = a are called a-points. In this paper, we give an asymptotic formula for the sum ... ζ(j) (ρa(k)) as T → ∞ where j and k are non-negative integers and ρa(k) denotes an a-point of the k-th derivative ζ(k)(s) and γa(k) = Im(ρa(k)). [ABSTRACT FROM AUTHOR]