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math.GR2024
Counting subgroups of the groups : a survey
László Tóth
We present a survey of exact and asymptotic formulas on the number of cyclic subgroups and total number of subgroups of the groups ${\Bbb Z}_{n_1} \times \cdots \times {\Bbb Z}_{n_…
math.NT2024
Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
László Tóth
We introduce and study the generalized cyclotomic polynomials associated with a regular system of divisors and an arbitrary set of positive integers. We show…
math.NT2024
On the asymptotic density of -tuples of positive integers with pairwise non-coprime components
László Tóth
We use the convolution method for arithmetic functions of several variables to deduce an asymptotic formula for the number of -tuples of positive integers with components which…