On the denominators of harmonic numbers. IV
Let $\mathcal{L}$ be the set of all positive integers $n$ such that the denominator of $1+1/2+\cdots +1/n$ is less than the least common multiple of $1, 2, \dots , n$. In this paper, under a certain assumption on linear independence, we prove that the set $\mathcal{L}$ has the upper asymptotic densi...
Main Authors: | Wu, Bing-Ling, Yan, Xiao-Hui |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2022-01-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.282/ |
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