Arithmetic subderivatives and Leibniz-additive functions
Arithmetic subderivatives and Leibniz-additive functions
We introduce the arithmetic subderivative of a positive integer with respect to a non-empty set of primes.This notion generalizes the concepts of the arithmetic derivative and arithmetic partial derivative.In order to generalize these notions a step further, we define that an arithmetic function is Leibniz-additive if there is a nonzero-valued …