The exact upper bound for the sum of reciprocals of least common multiples

DOI10.1016/j.amc.2021.126756OpenAlexW3212085305MaRDI QIDQ2060217

Pingzhi Yuan, Yuqing He, Sunben Chiu

Publication date: 13 December 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126756

zbMATH Keywords

least common multiplereciprocalexact upper boundhighly composite number\(r\)-optimal sequencedivisor sequence

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform lower bound for the least common multiple of a polynomial sequence
• The least common multiple of random sets of positive integers
• New lower bounds for the least common multiple of polynomial sequences
• Lower bounds for the least common multiple of finite arithmetic progressions
• The least common multiple of consecutive quadratic progression terms
• Nontrivial lower bounds for the least common multiple of some finite sequences of integers
• On the sum of reciprocals of least common multiples
• The least common multiple of a sequence of products of linear polynomials
• A sharp upper bound for the sum of reciprocals of least common multiples
• On the sum of reciprocals of least common multiples. II
• On the least common multiple of several random integers
• New lower bounds for the least common multiples of arithmetic progressions
• Nontrivial lower bounds for the least common multiple of some sequences of integers.
• On the least common multiple of random \(q\)-integers
• Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
• The least common multiple of consecutive arithmetic progression terms
• THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION
• Further 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
• The least common multiple of a quadratic sequence
• A Limit Involving Least Common Multiples: 10797
• On the Product of the Primes

This page was built for publication: The exact upper bound for the sum of reciprocals of least common multiples