Higher correlations of divisor sums related to primes I: triple correlations

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We obtain the triple correlations for a truncated divisor sum related to primes. We also obtain the mixed correlations for this divisor sum when it is summed over the primes, and give some applications to primes in short intervals.
58 pages

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Number Theory, Primary 11N05 ; Secondary 11P32

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http://salesiana.dossiersoluciones.com/handle/123456789/62687

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111212
 http://arxiv.org/abs/math/0111212

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arXiv