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 $0 < γ_1 \le γ_2 \le γ_3 \le \ldots$ denote ordinates of complex zeros of the Riemann zeta-function $ζ(s)$, then several results involving the maximal order of $γ_{n+1}-γ_n$ and the sum $$ \sum_{0<γ_n\le T}{(γ_{n+1}-γ_n)}^k \qquad(k>0) $$ 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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