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.


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