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

Daniel A. Goldston·Cem Yalcin Yildirim
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Abstract

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.

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Daniel A. Goldston, Cem Yalcin Yildirim. 2001-11-19. Higher correlations of divisor sums related to primes I: triple correlations. https://arxiv.org/abs/math/0111212

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