On the average value of the least common multiple of k positive integers

Titus Hilberdink, László Tóth

Type: Article

Publication Date: 2016-07-09

Citations: 21

DOI: https://doi.org/10.1016/j.jnt.2016.05.024

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Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF
CentAUR (University of Reading) - View - PDF

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Works That Cite This (21)

Action	Title	Year	Authors
+ PDF Chat	On the Degree of the GCD of Random Polynomials over a Finite Field	2021	Kui Liu Meijie Lu
+	Hyperbolic summation for functions of the GCD and LCM of several integers	2022	Randell Heyman László Tóth
+	Divisibility properties of random samples of integers	2020	José Fernández Pablo Fernández
+	On multivariable averages of divisor functions	2018	László Tóth Wenguang Zhai
+	Inertia, positive definiteness and ℓ norm of GCD and LCM matrices and their unitary analogs	2018	Pentti Haukkanen László Tóth
+ PDF Chat	On the reciprocal sum of lcm of k-tuples	2022	Sungjin Kim
+	On the distribution of lcm of k-tuples and related problems	2021	Sungjin Kim
+ PDF Chat	Mean value estimates of gcd and lcm-sums	2021	Sneha Chaubey Shivani Goel
+	A Brownian weak limit for the least common multiple of a random m-tuple of integers	2020	Dariusz Buraczewski Alexander Iksanov Alexander Marynych
+ PDF Chat	On the distribution of the $\lcm$ of $k$-tuples and related problems	2022	Sungjin Kim

Works Cited by This (25)

Action	Title	Year	Authors
+	The Composition of the gcd and Certain Arithmetic Functions	2010	Olivier Bordellès
+	On the Gcd-Sum Function	2008	Yoshio Tanigawa Wenguang Zhai
+	Multiplicative Arithmetic Functions of Several Variables: A Survey	2014	László Tóth
+	Weylsche Exponentialsummen in der neueren Zahlentheorie	1963	Arnold Walfisz
+ PDF Chat	On the distribution of the greatest common divisor	2004	Persi Diaconis P. Erdős
+	On the probability distribution of the gcd and lcm of $r$-tuples of integers	2013	José Fernández Pablo Fernández
+	The gcd-sum function	2001	Kevin Broughan
+	On an Arithmetic Function	1926	A. Oppenheim
+	Asymptotic results for a class of arithmetical functions	1985	J. Chidambaraswamy R. Sitaramachandrarao
+ PDF Chat	Étude moyenne di plus grand commun diviseur de deux nombres	1885	Ernest Cesàro