Andrew V. Lelechenko
Published 2014-05-29, updated 2014-06-21Version 2
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-divisors and totient functions. Main results concern with the asymptotic behaviour of mean values and explicit estimates of extremal orders.
On asymptotic behaviour of Dirichlet inverse
On the weighted average number of subgroups of ${\mathbb {Z}}_{m}\times {\mathbb {Z}}_{n}$ with $mn\leq x$
On the asymptotic behaviour of the sine product $\prod_{r=1}^n|2\sin(π r α)|$
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