Asymptotic improvements of lower bounds for the least common multiples of arithmetic pro\-gressions (Q2925373)
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scientific article; zbMATH DE number 6359646
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic improvements of lower bounds for the least common multiples of arithmetic pro\-gressions |
scientific article; zbMATH DE number 6359646 |
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21 October 2014
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least common multiple
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arithmetic progression
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Asymptotic improvements of lower bounds for the least common multiples of arithmetic pro\-gressions (English)
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For relatively prime positive integers \(u_0\) and \(r\) the authors consider the least common multiple \(L_n:=\text{lcm}(u_0,\ldots,u_n)\) with \(u_j=u_0+jr\). They establish a lower bound for \(L_n\) that improves on earlier lower bounds and discuss the sharpness of their estimate.
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