On certain sums of arithmetic functions involving the GCD and LCM of two positive integers

DOI10.1007/s00025-020-01337-7zbMath1471.11007arXiv2011.02254OpenAlexW3130761075MaRDI QIDQ2038384

László Tóth, Randell Heyman

Publication date: 6 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02254

zbMATH Keywords

greatest common divisorasymptotic formulaleast common multiplearithmetic functionhyperbolic summation

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (3)

Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions ⋮ Hyperbolic summation for functions of the GCD and LCM of several integers ⋮ Multivariate multiplicative functions of uniform random vectors in large integer domains

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