The least common multiple of a sequence of products of linear polynomials

Shaofang Hong, Guoyou Qian, Qianrong Tan

Published 2011-07-31, updated 2011-12-27Version 2

Let $f(x)$ be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate: $\log {\rm lcm}(f(1), ..., f(n))\sim An$ as $n\rightarrow\infty $, where $A$ is a constant depending on $f$.