The sum of reciprocals of least common multiples

DOI10.1007/s10998-021-00395-wzbMath1499.11004OpenAlexW3175277835MaRDI QIDQ2077901

Jin-Hui Fang, Jie Ma

Publication date: 22 February 2022

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-021-00395-w

zbMATH Keywords

sequencesupper boundleast common multiple

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (1)

On the sum of reciprocals of least common multiples. II

Cites Work

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• Uniform lower bound for the least common multiple of a polynomial sequence
• New lower bounds for the least common multiple of polynomial sequences
• 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
• On the sum of reciprocals of least common multiples
• A sharp upper bound for the sum of reciprocals of least common multiples
• Nontrivial lower bounds for the least common multiple of some sequences of integers.
• Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
• A Sum of Reciprocals of Least Common Multiples

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