New lower bounds for the least common multiple of polynomial sequences

DOI10.1016/j.jnt.2016.11.026zbMath1421.11001OpenAlexW2570127848MaRDI QIDQ512243

Guoyou Qian, Shao-Fang Hong

Publication date: 24 February 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.11.026

zbMATH Keywords

lower boundleast common multiplepolynomial sequence

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (6)

The least common multiple of consecutive terms in a cubic progression ⋮ On the sum of reciprocals of least common multiples ⋮ On the sum of reciprocals of least common multiples. II ⋮ Nontrivial upper bounds for the least common multiple of an arithmetic progression ⋮ The exact upper bound for the sum of reciprocals of least common multiples ⋮ The sum of reciprocals of least common multiples

Cites Work

• Unnamed Item
• Uniform lower bound for the least common multiple of a polynomial sequence
• Lower bounds for the least common multiple of finite arithmetic progressions
• The least common multiple of consecutive quadratic progression terms
• On the periodicity of an arithmetical function
• Nontrivial lower bounds for the least common multiple of some finite sequences of integers
• The least common multiple of a sequence of products of linear polynomials
• Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms
• Note on the lower bound of least common multiple
• New lower bounds for the least common multiples of arithmetic progressions
• 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
• The least common multiple of consecutive arithmetic progression terms
• An Identity Involving the Least Common Multiple of Binomial Coefficients and Its Application
• THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION
• Improvements of lower bounds for the least common multiple of finite arithmetic progressions
• Further improvements of lower bounds for the least common multiples of arithmetic progressions
• New results on the least common multiple of consecutive integers
• On Chebyshev-Type Inequalities for Primes
• A Limit Involving Least Common Multiples: 10797
• On the Product of the Primes

This page was built for publication: New lower bounds for the least common multiple of polynomial sequences