3 papers
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.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.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…