The least common multiple of a quadratic sequence

DOI10.1112/S0010437X10005191zbMath1248.11068arXiv1001.3438MaRDI QIDQ5199360

Javier Cilleruelo

Publication date: 16 August 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3438

zbMATH Keywords

quadratic polynomialleast common multipleequidistribution of roots

Mathematics Subject Classification ID

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

Related Items (14)

On the least common multiple of several consecutive values of a polynomial ⋮ On the least common multiple of binary linear recurrence sequences ⋮ On the least common multiple of random \(q\)-integers ⋮ On the error term of the logarithm of the lcm of a quadratic sequence ⋮ The least common multiple of random sets of positive integers ⋮ On the distribution of modular square roots of primes ⋮ An improved bound on 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 ⋮ On Cilleruelo's conjecture for the least common multiple of polynomial sequences ⋮ New results on the least common multiple of consecutive integers ⋮ The exact upper bound for the sum of reciprocals of least common multiples ⋮ Unnamed Item ⋮ On the least common multiple of polynomial sequences at prime arguments

Cites Work

• Unnamed Item
• Chebotarëv and his density theorem
• Equidistribution of roots of a quadratic congruence to prime moduli
• A Limit Involving Least Common Multiples: 10797

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