On the periodicity of an arithmetical function

DOI10.1016/j.crma.2008.05.019zbMath1213.11014OpenAlexW2069800065MaRDI QIDQ935347

YuJuan Yang, Shao-Fang Hong

Publication date: 6 August 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.05.019

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (14)

Further results on a curious arithmetic function ⋮ NOTES ON A CURIOUS ARITHMETIC FUNCTION ⋮ The least common multiple of consecutive terms in a cubic progression ⋮ The least common multiple of a sequence of products of linear polynomials ⋮ Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms ⋮ New lower bounds for the least common multiples of arithmetic progressions ⋮ Further improvements of lower bounds for the least common multiples of arithmetic progressions ⋮ Shape recognition by a finite automaton robot ⋮ The least common multiple of consecutive arithmetic progression terms ⋮ New lower bounds for the least common multiple of polynomial sequences ⋮ On the lcm-analog of binomial coefficient ⋮ On the periodicity of some Farhi arithmetical functions ⋮ New results on the least common multiple of consecutive integers ⋮ THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION

Cites Work

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• What the least common multiple divides. II
• Lower bounds for the least common multiple of finite arithmetic progressions
• Nontrivial lower bounds for the least common multiple of some finite sequences of integers
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• The primes contain arbitrarily long arithmetic progressions
• Nontrivial lower bounds for the least common multiple of some sequences of integers.
• Improvements of lower bounds for the least common multiple of finite arithmetic progressions
• On Chebyshev-Type Inequalities for Primes
• ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
• On the Product of the Primes

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