L. Tóth

most citedAdditive arithmetic functions meet the inclusion-exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers

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math.NT2021★ 3 cited

Additive arithmetic functions meet the inclusion-exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers

Olivier Bordellès, László Tóth

We obtain asymptotic formulas for the sums $\sum_{n_{1}, \dots, n_{k} \leq x} f ((n_{1}, \dots, n_{k}))$ and $\sum_{n_{1}, \dots, n_{k} \leq x} f ([n_{1}, \dots, n_{k}])$ involving the gcd and lcm of the i…