Further improvements of lower bounds for the least common multiples of arithmetic progressions
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Publication:3550554
DOI10.1090/S0002-9939-09-10083-7zbMath1196.11007arXiv0811.4769OpenAlexW2092160372MaRDI QIDQ3550554
Scott Duke Kominers, Shao-Fang Hong
Publication date: 31 March 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.4769
Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)
Related Items (9)
Nontrivial effective lower bounds for the least common multiple of a $q$-arithmetic progression ⋮ Uniform lower bound for the least common multiple of a polynomial sequence ⋮ Note on the lower bound of least common multiple ⋮ New lower bounds for the least common multiples of arithmetic progressions ⋮ The least common multiple of consecutive arithmetic progression terms ⋮ New lower bounds for the least common multiple of polynomial sequences ⋮ Nontrivial upper bounds for the least common multiple of an arithmetic progression ⋮ Nontrivial effective lower bounds for the least common multiple of some quadratic sequences ⋮ The exact upper bound for the sum of reciprocals of least common multiples
Cites Work
- Lower bounds for the least common multiple of finite arithmetic progressions
- On the periodicity of an arithmetical function
- Nontrivial lower bounds for the least common multiple of some finite sequences of integers
- 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
- 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
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