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

Published 31 Jul 2011 in math.NT | (1108.0162v2)

Abstract: 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 $f$.

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