The least common multiple of a sequence of products of linear polynomials.(English)Zbl 1265.11093

Let $$f(x)$$ be the product of linear polynomials with integer coefficients. Extending several earlier results, the authors prove that $$\log\text{lcm}(f(1),\dots,f(n))\sim An$$ as $$n\to\infty$$, where $$A$$ is a constant depending only on $$f$$.

MSC:

 11N37 Asymptotic results on arithmetic functions 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors 11B25 Arithmetic progressions
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References:

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