TY - JOUR AU - A. V. Lelechenko PY - 2016/08/25 Y2 - 2024/03/28 TI - Exponential and infinitary divisors JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 8 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1902 AB - We study several problems in the field of modified divisors; more precisely, from the theory of exponential and infinitarydivisors.We analyze the behavior of modified divisors, sum-of-divisors, and totient functions. Our main results are connectedwith the asymptotic behavior of mean values and explicit estimates of the extremal orders. ER -