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

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

2003-05-23

arxiv.org/abs/math/0305341v1

Mathematics

Number Theory

14 pages

Scientific paper

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.

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