How can I express the following Dirichlet series $$\sum_{n=1}^{\infty}\frac{d_{k}^{2}(n)}{n^{s}}$$ (where $d(n)$-divisor function;$k\geq 1$) in terms of the zeta function?
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1$\begingroup$ Cross-posted:math.stackexchange.com/questions/4351519/… $\endgroup$– user155294Commented Jan 8, 2022 at 10:03
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5$\begingroup$ You shouldn't crosspost so rapidly. First, wait for comments and answers on MSE. $\endgroup$– Loïc TeyssierCommented Jan 8, 2022 at 10:11
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2$\begingroup$ See eq. (3.56) and (3.57) in arxiv.org/abs/1106.4038 . $\endgroup$– R. J. MatharCommented Jan 8, 2022 at 15:03
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$\begingroup$ @R.J.Mathar: Why don't you post that as an answer? It seems exactly what the OP wants. $\endgroup$– Alex M.Commented Jan 8, 2022 at 15:09
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