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arXiv · 1406.6123

Asymptotic behavior of the least common multiple of consecutive reducible quadratic 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 $f(x)$ be the product of two linear polynomials with integer coefficients. In this paper, we show that $\log {\rm lcm}_{mn<i\le ln}\{f(i)\}=An+o(n)$, where $A$ is a constant depending only on $l$, $m$ and $f$.

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Guoyou Qian, Shaofang Hong. 2014-06-24. Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms. https://arxiv.org/abs/1406.6123

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