Some remarks on the differences between ordinates of consecutive zeta zeros

Aleksandar Ivić

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arXiv · 1610.01317

Some remarks on the differences between ordinates of consecutive zeta zeros

Aleksandar Ivić

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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. 2016-10-05. Some remarks on the differences between ordinates of consecutive zeta zeros. https://arxiv.org/abs/1610.01317

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