论文标题
根据$ s（t）$，$ s_1（t）$和$ζ（1/2+\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ s）$的明确估计。
On explicit estimates for $S(t)$, $S_1(t)$, and $ζ(1/2+\mathrm{i}t)$ under the Riemann Hypothesis
论文作者
论文摘要
假设假设是$ s（t）$，$ s_1（t）$和$ζ\ left（1/2+\ mathrm {i} t \ right）$，同时将它们与最近证明的无条件的无条件进行比较时，我们可以为模量提供明确的上限。作为推论，我们获得了有条件的显式绑定在Riemann Zeta功能连续零之间的间隙上。
Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of $S(t)$, $S_1(t)$, and $ζ\left(1/2+\mathrm{i}t\right)$ while comparing them with recently proven unconditional ones. As a corollary we obtain a conditional explicit bound on gaps between consecutive zeros of the Riemann zeta-function.
