On the distribution of the \(\mathrm{lcm}\) of \(k\)-tuples and related problems

DOI10.7169/facm/2008zbMath1528.11100arXiv2102.05480MaRDI QIDQ6043649

Sungjin Kim

Publication date: 23 May 2023

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05480

zbMATH Keywords

distributionleast common multipletuples

Mathematics Subject Classification ID

Distribution functions associated with additive and positive multiplicative functions (11N60) Rate of growth of arithmetic functions (11N56)

Cites Work

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• On the average value of the least common multiple of \(k\) positive integers
• On the use of the method of moments for the study of additive functions
• On the reciprocal sum of lcm of \(k\)-tuples
• Divisibility properties of random samples of integers
• On the least common multiple of several random integers
• THE PROBABILITY THAT RANDOM POSITIVE INTEGERS ARE k-WISE RELATIVELY PRIME
• Counting tuples restricted by coprimality conditions
• On certain sums concerning the gcd’s and lcm’s of k positive integers

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