Lelechenko A. V.
Ukr. Mat. Zh. - 2016. - 68, № 8. - pp. 1068-1079
We study several problems in the field of modified divisors; more precisely, from the theory of exponential and infinitary divisors.We analyze the behavior of modified divisors, sum-of-divisors, and totient functions. Our main results are connected with the asymptotic behavior of mean values and explicit estimates of the extremal orders.