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Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

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Publication:2925373
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DOI10.4153/CMB-2014-017-0zbMath1310.11006arXiv1101.0142OpenAlexW2950273734MaRDI QIDQ2925373

Scott Duke Kominers, Daniel M. Kane

Publication date: 21 October 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0142


zbMATH Keywords

arithmetic progressionleast common multiple


Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items (8)

Nontrivial effective lower bounds for the least common multiple of a $q$-arithmetic progression ⋮ On the sum of reciprocals of least common multiples ⋮ On the sum of reciprocals of least common multiples. II ⋮ 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 ⋮ The sum of reciprocals of least common multiples




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