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

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

2012-04-24

arxiv.org/abs/1204.5415v1

Mathematics

Number Theory

8 pages

Scientific paper

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 $\log {\rm
lcm}_{mnm$ and $a$.

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