Correlations of the von Mangoldt and higher divisor functions II: divisor correlations in short ranges
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DOI: 10.1007/s00208-018-01801-4
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 read more here.
Keywords: correlations von; higher divisor; mangoldt higher; von mangoldt ... See more keywords
Sums of higher divisor functions
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DOI: 10.1016/j.jnt.2020.08.009
Abstract: Abstract Let d k ( n ) denote the k-th divisor function. In this paper, we study the asymptotic formula of the sum ∑ 1 ≤ n 1 , n 2 , … , n… read more here.
Keywords: sums higher; divisor functions; higher divisor;