activity
20142025
most citedCyclicity degrees of finite groups

12 citations · 12 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2025

Evaluating At Odd Positive Integers Using Automatic Dirichlet Series

László Tóth

In this paper, we use the Thue-Morse sequence and the paperfolding sequence to build a Dirichlet series that evaluates to a linear combination of the Riemann zeta function at odd p…

math.NT2025

Generalizations of Euler's -function with respect to systems of polynomials of several variables

Norbert Csizmazia, László Tóth

We introduce a new generalization of Euler's -function associated with a system of polynomials of several variables. We reprove by a short direct approach certain known related…

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…

math.MG2022

Miscellaneous problems about packing and covering

Gábor Fejes Tóth, László Fejes Tóth, Włodzimierz Kuperberg

In this paper we discuss various special problems on packing and covering. Among others we survey the problems and results concerning finite arrangements, Minkowskian, saturated, c…

math.GR2014★ 12 cited

Cyclicity degrees of finite groups

Marius Tărnăuceanu, László Tóth

We introduce and study the concept of cyclicity degree of a finite group . This quantity measures the probability of a random subgroup of to be cyclic. Explicit formulas are…