On the mean value of the function $\overline{S}_k(n)$

• Datum: 2011
• Hauptverfasser: Varbanets, P. D., Kirbat, S. A., Варбанец, П. Д., Кирбат, С. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2730
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

An asymptotic formula is constructed for a mean value of the function $\overline{S}_k(n)$ which is dual to the Smarandache function $S_k(n)$. $O$- and $\Omega$-estimates for the second moment of the remainder term are obtained.