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A note on Primes in Short Intervals

Tsz Ho Chan
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Abstract

Instead of a strong quantitative form of the Hardy-Littlewood prime $k$-tuple conjecture, one can assume an average form of it and still obtains the same distribution result on $ψ(x+h) - ψ(x)$ by Montgomery and Soundararajan [1].

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Tsz Ho Chan. 2005-03-24. A note on Primes in Short Intervals. https://arxiv.org/abs/math/0503441

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