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

preprint2011arXivOpen access

Abstract

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

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