On certain sums concerning the gcd’s and lcm’s of k positive integers

Hilberdink, T., Luca, F. and Toth, L. (2020) On certain sums concerning the gcd’s and lcm’s of k positive integers. International Journal of Number Theory, 16 (1). pp. 77-90. ISSN 1793-7310 doi: 10.1142/S1793042120500049

Abstract/Summary

We use elementary arguments to prove results on the order of magnitude of certain sums concerning the gcd’s and lcm’s of k positive integers, where k ≥ 2 is fixed. We refine and generalize an asymptotic formula of Bordell`es (2007), and extend certain related results of Hilberdink and T´oth (2016). We also formulate some conjectures and open problems.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/85149
Identification Number/DOI	10.1142/S1793042120500049
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	World Scientific
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