The least common multiple of consecutive arithmetic progression terms

DOI10.1017/S0013091509000431zbMath1304.11008arXiv0903.0530MaRDI QIDQ3006327

Guoyou Qian, Shao-Fang Hong

Publication date: 10 June 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0530

zbMATH Keywords

arithmetic progressionleast common multiple\(p\)-adic valuationsmallest periodFarhi arithmetic function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (12)

On the least common multiple of several consecutive values of a polynomial ⋮ Further results on a curious arithmetic function ⋮ The least common multiple of consecutive terms in a cubic progression ⋮ Uniform lower bound for the least common multiple of a polynomial sequence ⋮ 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 ⋮ New lower bounds for the least common multiple of polynomial sequences ⋮ Non-divisibility of LCM matrices by GCD matrices on \(\gcd\)-closed sets ⋮ The exact upper bound for the sum of reciprocals of least common multiples ⋮ THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION

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