In this paper we obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables.
Arithmetic functions of several variables, multiplicative functions, least common multiple, greatest common divisor, asymptotic formula
"On some multivariate LCM and GCD sums,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 43.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/43