4 papers · 1 filter
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…
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…
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…
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 sho…