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arXiv · 1204.5415

Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

Guoyou Qian·Shaofang Hong
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Abstract

Let $l$ and $m$ be two integers with $l>m\ge 0$, and let $a$ and $b$ be integers with $a\ge 1$ and $a+b\ge 1$. In this paper, we prove that $\log {\rm lcm}_{mn<i\le ln}\{ai+b\} =An+o(n)$, where $A$ is a constant depending on $l, m$ and $a$.

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Guoyou Qian, Shaofang Hong. 2012-04-24. Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms. https://doi.org/10.1007/s00013-013-0510-7

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