Abstract
Let \(k\geqslant 2\) be a fixed natural number and \(d_k(n)\) denote the number of ways n can be written as a product of k positive integers. We use \(\Delta _k(x)\) to denote the error term in the asymptotic formula of the summatory function of \(d_k(n).\) The aim of this paper is to study the hybrid moments of \(\Delta _2(x)\) and \(\Delta _3(x)\). The higher power moments of \(\Delta _2(x)\) are also studied.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11971476).
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Cao, X., Tanigawa, Y. & Zhai, W. On hybrid moments of \(\Delta _2(x)\) and \(\Delta _3(x)\). Ramanujan J 58, 597–631 (2022). https://doi.org/10.1007/s11139-021-00431-w
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DOI: https://doi.org/10.1007/s11139-021-00431-w