Higher Correlations of Divisor Sums Related to Primes II: Variations of the error term in the prime number theorem

D. A. Goldston, C. Y. Yildirim

We calculate the triple correlations for the truncated divisor sum ${\lambda }_R(n)$. The ${\lambda }_R(n)$'s behave over certain averages just as the prime counting von Mangoldt function $\Lambda (n)$…