Mean Value of r-gcd-sum and r-lcm-Sum Functions
Mean Value of r-gcd-sum and r-lcm-Sum Functions
In this paper we perform a further investigation for r-gcd-sum and r-lcm-sum functions. By making use of the properties of generalization of Euler’s φ-function, Abel’s identity and elementary arguments, we derive asymptotic formulas for the average of the r-gcd-sum function, r-lcm-sum function and their generalizations. Moreover, we also study the …