## Some remarks on the differences between ordinates of consecutive zeta zeros.(English)Zbl 1455.11119

Author’s 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.

### MSC:

 11M06 $$\zeta (s)$$ and $$L(s, \chi)$$
Full Text:

### Online Encyclopedia of Integer Sequences:

Indices of maximal gaps between consecutive nontrivial zeros of the Riemann zeta function.

### References:

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