On the sum of reciprocals of least common multiples

DOI10.1016/j.crma.2017.10.015zbMath1401.11006OpenAlexW2769175834MaRDI QIDQ1681547

Guoyou Qian

Publication date: 23 November 2017

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.2017.10.015

zbMATH Keywords

least common multiplessum of reciprocals

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (3)

On the sum of reciprocals of least common multiples. II ⋮ The exact upper bound for the sum of reciprocals of least common multiples ⋮ The sum of reciprocals of least common multiples

Cites Work

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• Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
• On the Average Asymptotic Behavior of a Certain Type of Sequence of Integers
• On Chebyshev-Type Inequalities for Primes
• A Sum of Reciprocals of Least Common Multiples
• On the Product of the Primes
• Generalization of an inequality of Heilbronn and Rohrbach

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