2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67554In this paper, we extend the result of Fujii on the second moment of $S(t+h) - S(t)$ to longer range of $h$ under the Riemann Hypothesis and an quantitative form of the Twin Prime Conjecture.14 pagesNumber Theory11M06Distribution of the zeros of the Riemann zeta function in longer intervalstext