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Timeline for Conjecture about harmonic numbers

Current License: CC BY-SA 3.0

23 events
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Apr 13, 2017 at 12:19 history edited CommunityBot
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Feb 2, 2017 at 3:03 review Close votes
Feb 2, 2017 at 9:50
Jan 27, 2017 at 15:06 history edited LRDPRDX CC BY-SA 3.0
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Jan 27, 2017 at 15:00 history edited LRDPRDX CC BY-SA 3.0
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Jan 27, 2017 at 13:01 comment added Gottfried Helms Wolfgang, see more data for your plot in my last answer (at end)
Jan 27, 2017 at 10:17 answer added Gottfried Helms timeline score: 4
Jan 26, 2017 at 6:35 answer added Gerhard Paseman timeline score: 2
Jan 25, 2017 at 20:30 history edited LRDPRDX CC BY-SA 3.0
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Jan 25, 2017 at 20:23 comment added LRDPRDX There is a question (link in the discription) to prove that there exist infinitely many $n$ such that $$H_n - \lfloor H_n\rfloor < \frac{1}{n^2}.$$ So I wanted to find several $n$'s numerically, but I did not find any $n > 1$ which fulfilled that inequality. Also, see pictures I added in the description.
Jan 25, 2017 at 20:18 comment added BigM Interesting question. May I ask the motivation ( or the context)?
Jan 25, 2017 at 20:01 comment added LRDPRDX Yes. It denotes cardinality,
Jan 25, 2017 at 19:44 comment added Pietro Majer Does $|M|$ denote cardinality?
Jan 25, 2017 at 19:38 comment added Fedor Petrov why close? It looks interesting
Jan 25, 2017 at 19:35 history edited LRDPRDX CC BY-SA 3.0
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Jan 25, 2017 at 19:01 comment added LRDPRDX I got it, Like a tag question.
Jan 25, 2017 at 17:56 comment added YCor "isn't" is standard English, a rhetorical negation. "Isn't it clear" means more or less "It's clear, or I miss something?"
Jan 25, 2017 at 17:44 history edited LRDPRDX CC BY-SA 3.0
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Jan 25, 2017 at 17:44 comment added LRDPRDX I agree that $\bar\eta$ is decreasing. But I do not understand the ''isn't'' in the beginning.
Jan 25, 2017 at 17:19 comment added user2520938 isn't the fact that $\eta$ is decreasing clear since for $\epsilon_1<\epsilon_2$ $$0\leq H_n - \lfloor{H_n\rfloor} < \frac{1}{n^{1+\epsilon_2}}<\frac{1}{n^{1+\epsilon_1}}$$
Jan 25, 2017 at 17:15 review Close votes
Jan 25, 2017 at 20:57
Jan 25, 2017 at 16:44 history edited LRDPRDX CC BY-SA 3.0
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Jan 25, 2017 at 16:39 review First posts
Jan 25, 2017 at 16:56
Jan 25, 2017 at 16:37 history asked LRDPRDX CC BY-SA 3.0