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March 2018 Some remarks on the differences between ordinates of consecutive zeta zeros
Aleksandar Ivić
Funct. Approx. Comment. Math. 58(1): 23-35 (March 2018). DOI: 10.7169/facm/1633

Abstract

If $0 < \gamma_1 \le \gamma_2 \le \gamma_3 \le \ldots$ denote ordinates of complex zeros of the Riemann zeta-function $\zeta(s)$, then several results involving the maximal order of $\gamma_{n+1}-\gamma_n$ and the sum $$ \sum_{0<\gamma_n\le T}{(\gamma_{n+1}-\gamma_n)}^k \qquad(k>0) $$ are proved.

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Aleksandar Ivić. "Some remarks on the differences between ordinates of consecutive zeta zeros." Funct. Approx. Comment. Math. 58 (1) 23 - 35, March 2018. https://doi.org/10.7169/facm/1633

Information

Published: March 2018
First available in Project Euclid: 5 May 2017

zbMATH: 06924913
MathSciNet: MR3780031
Digital Object Identifier: 10.7169/facm/1633

Subjects:
Primary: 11M06

Rights: Copyright © 2018 Adam Mickiewicz University

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Vol.58 • No. 1 • March 2018
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