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arxiv: math/0305341 · v1 · submitted 2003-05-23 · 🧮 math.NT

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

classification 🧮 math.NT
keywords longerriemannconjecturedistributionextendformfujiifunction
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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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