Zhang, Wenpeng On the Hurwitz zeta-function. (Chinese) Zbl 0702.11058 Acta Math. Sin. 33, No. 2, 160-171 (1990). Let \(\zeta_ 1(s,\alpha)=\zeta (s,\alpha)-\alpha^{-s}\), where \(\zeta\) (s,\(\alpha\)) is the Hurwitz zeta-function. V. V. Rane [Math. Ann. 264, 147-151 (1983; Zbl 0515.10037)] gave, among other things, an asymptotic formula for the mean square value over \(\alpha\) for \(\zeta_ 1(+it,\alpha).\) Here the author gives similar results for \(\zeta '_ 1(s,\alpha)=\zeta '(s,\alpha)+\alpha^{-s} \log \alpha\). Reviewer: P.Shiu Cited in 1 ReviewCited in 2 Documents MSC: 11M35 Hurwitz and Lerch zeta functions Keywords:Hurwitz zeta-function; asymptotic formula; mean square Citations:Zbl 0515.10037 PDFBibTeX XMLCite \textit{W. Zhang}, Acta Math. Sin. 33, No. 2, 160--171 (1990; Zbl 0702.11058)