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

Abstract

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

To appear in Acta Mathematica Hungarica