Distribution of the zeros of the Riemann zeta function in longer intervals

Abstract

In 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 pages

References in corpus (1)

• Pair Correlation of the zeros of the Riemann zeta function in longer ranges