A. V. Lelechenko

activity

20122018

most citedAverage number of squares dividing mn

1 citations · 1 across the 3 of their papers we have counts for

collaborators

9 papers

math.NT2018

Dirichlet divisor problem on Gaussian integers

Andrew V. Lelechenko

We improve existing estimates of moments of the Riemann zeta function. As a consequence, we are able to derive new estimates for the asymptotic behaviour of $\sum_{N α\le x} \mathf…

math.NT2014★ 1 cited

Average number of squares dividing mn

Andrew V. Lelechenko

We study the asymptotic behaviour of $\sum_{m, n \leq x} τ_{1, 2} (mn)$ , where $τ_{1, 2} (n) = \sum_{a b^{2} = n} 1$ , using multidimensional Perron formula and complex integration method. A…

math.NT2014

Exponential and infinitary divisors

Andrew V. Lelechenko

Our paper is devoted to several problems from the field of modified divisors: namely exponential and infinitary divisors. We study the behaviour of modified divisors, sum-of-diviso…

math.NT2014

Linear programming over exponent pairs

Andrew V. Lelechenko

We consider the problem of the computation of $in f_{p} θ p$ over the set of exponent pairs $P ∋ p$ under linear constraints for a certain class of objective functions $θ$ . An effec…

math.NT2014

Exponential Carmichael function

Andrew V. Lelechenko

Consider exponential Carmichael function $λ^{(e)}$ such that $λ^{(e)}$ is multiplicative and $λ^{(e)} (p^{a}) = λ (a)$ , where $λ$ is usual Carmichael function. We discuss the value of…

math.NT2013

Exponential divisor functions

Andrew V. Lelechenko

Consider the operator $E$ on arithmetic functions such that $E f$ is the multiplicative arithmetic function defined by $(E f) (p^{a}) = f (a)$ for every prime power $p^{a}$ . We investigate…