2018
Том 70
№ 6

# Varbanets P. D.

Articles: 3
Article (Russian)

### On the Average Value of a Generalized Pillai Function over $\mathbb{Z} [i]$ in the Arithmetic Progression

Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 755–764

We construct an asymptotics relation for the average value of the generalized Pillai function in the arithmetic progression.

Article (Russian)

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

Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 448-458

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.

Brief Communications (Russian)

### Distribution of solutions of the congruence

Ukr. Mat. Zh. - 1969. - 21, № 1. - pp. 96–98