2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62687We 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 pagesNumber TheoryPrimary 11N05 ; Secondary 11P32Higher correlations of divisor sums related to primes I: triple correlationstext