The least common multiple of consecutive quadratic progression terms

DOI10.1515/forum-2014-0030zbMath1397.11062arXiv1208.5119OpenAlexW2963674100MaRDI QIDQ889590

Guoyou Qian, Shao-Fang Hong

Publication date: 9 November 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5119

zbMATH Keywords

least common multiple\(p\)-adic analysisquadratic congruencequadratic progressionthe smallest period

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Primes in congruence classes (11N13) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (7)

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 ⋮ On the sum of reciprocals of least common multiples. II ⋮ 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

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