2018
Том 70
№ 12

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

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 516-529.

Citation Example: Kirbat S. A., Varbanets P. D. On the mean value of the function $\overline{S}_k(n)$ // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 448-458.

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