On certain sums concerning the gcd’s and lcm’s of k positive integersHilberdink, 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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1142/S1793042120500049 Abstract/SummaryWe 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.
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