"Correlations of the von Mangoldt and higher divisor functions II: divisor correlations in short ranges"

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We study the problem of obtaining asymptotic formulas for the sums $$\sum _{X < n \le 2X} d_k(n) d_l(n+h)$$∑X Click to show full abstract

We study the problem of obtaining asymptotic formulas for the sums $$\sum _{X < n \le 2X} d_k(n) d_l(n+h)$$∑X

Keywords: correlations von; higher divisor; mangoldt higher; von mangoldt; mangoldt

Journal Title: Mathematische Annalen
Year Published: 2019

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