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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…