Timeline for there exist infinite many $n\in\mathbb{N}$ such that $S_n-[S_n]<\frac{1}{n^2}$
Current License: CC BY-SA 3.0
14 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| S Jan 23, 2017 at 13:11 | history | bounty ended | CommunityBot | ||
| S Jan 23, 2017 at 13:11 | history | notice removed | CommunityBot | ||
| Jan 19, 2017 at 4:38 | comment | added | Kevin Casto | The heuristic in the post on MSE is natural to use, but you need to be more careful -- I'm pretty sure $H_n$ is not equidistributed mod 1. Indeed, it has the same rate of growth as $\log n$, and growth rate arguments (e.g. math.stackexchange.com/questions/1950100/…) suffice to show that $\log n$ is not equidistributed mod 1. The comments in that post might help with this problem. | |
| Jan 19, 2017 at 0:50 | comment | added | Włodzimierz Holsztyński | Any background? Any numerical data? I am just curious--the question seems interesting to me as it is. One may ask about the opposite inequality $\ldots\ > -\frac 1{n^2}\ $ as well. | |
| Jan 18, 2017 at 22:22 | history | edited | André Henriques | CC BY-SA 3.0 |
Removed a part of the question that didn't make sense to me.
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| Jan 15, 2017 at 12:21 | comment | added | Martin Sleziak | BTW I should say that I appreciate that you have added link to your post on math.SE. (There are many users who repost question here without mentioning that it has been previously posted on another site.) | |
| S Jan 15, 2017 at 11:23 | history | bounty started | math110 | ||
| S Jan 15, 2017 at 11:23 | history | notice added | math110 | Authoritative reference needed | |
| Dec 27, 2016 at 8:14 | history | edited | math110 | CC BY-SA 3.0 |
edited body
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| Dec 27, 2016 at 7:54 | comment | added | Amir Sagiv | Who is $H_n$? what's its relation to the question? The second part is very vague as it is, even when I try to compare this post to the math.se question. Can you re-edit? | |
| Dec 27, 2016 at 7:08 | history | edited | math110 | CC BY-SA 3.0 |
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| Dec 27, 2016 at 6:56 | review | First posts | |||
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| Dec 27, 2016 at 6:55 | history | asked | math110 | CC BY-SA 3.0 |