Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

Let \(l\) and \(m\) be two integers with \(l>m\ge 0\), and let \(a\) and \(b\) be integers with \(a\ge 1\) and \(a+b\ge 1\). In this paper, we prove that \(\log {\rm lcm}_{mn

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Veröffentlicht in:arXiv.org 2013-02
Hauptverfasser: Qian, Guoyou, Hong, Shaofang
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Integers
Mathematics - Number Theory
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Zusammenfassung:Let \(l\) and \(m\) be two integers with \(l>m\ge 0\), and let \(a\) and \(b\) be integers with \(a\ge 1\) and \(a+b\ge 1\). In this paper, we prove that \(\log {\rm lcm}_{mn
ISSN:2331-8422
DOI:10.48550/arxiv.1204.5415