A note on Primes in Short Intervals

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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].
6 pages, report number added

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Number Theory, 11N05

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http://salesiana.dossiersoluciones.com/handle/123456789/74577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503441
 http://arxiv.org/abs/math/0503441

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arXiv