Geodesic
On some integrals involving $\Delta_2(x)$ and $\Delta_3(x)$
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 93

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $k\geq 2$ 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. Let $\Delta_k(x)$ denote the error term in the asymptotic formula of the summatory function of $d_k(n)$. In this paper we study some integrals involving $\Delta_2(x)$ and $\Delta_3(x)$.
Classification : 11N37
Keywords: general divisor problem, Dirichlet divisor problem, power moment 
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     author = {Wenguang Zhai},
     title = {On some integrals involving $\Delta_2(x)$ and $\Delta_3(x)$},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {93 },
     publisher = {mathdoc},
     volume = {46},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2021_46_a5/}
}
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Wenguang Zhai. On some integrals involving $\Delta_2(x)$ and $\Delta_3(x)$. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 93 . http://geodesic.mathdoc.fr/item/BASS_2021_46_a5/