The least common multiple of a sequence of products of linear polynomials (Q1928061)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The least common multiple of a sequence of products of linear polynomials |
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The least common multiple of a sequence of products of linear polynomials (English)
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2 January 2013
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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 \(f\).
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least common multiple
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arithmetic progression
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\(p\)-adic valuation
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prime number theorem for arithmetic progressions
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