Lindel\" of hypothesis and the order of the mean-value of $|\zeta(s)|^{2k-1}$ in the critical strip

zbMATH Open0631.10021arXiv1501.03325MaRDI QIDQ3767406

Publication date: 1986

Abstract: The main subject of this paper is the mean-value of the function

| z e t a (s) |^{2 k - 1}

in the critical strip. On Lindel" of hypothesis we give a solution to this question for some class of disconnected sets. This paper is English version of our paper cite{5}.

Full work available at URL: https://arxiv.org/abs/1501.03325

zbMATH Keywords

Riemann zeta-function mean values Lindelöf hypothesis disconnected sets

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

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