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On the Hurwitz zeta-function. (Chinese) Zbl 0702.11058

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

MSC:

11M35 Hurwitz and Lerch zeta functions

Citations:

Zbl 0515.10037
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