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Timeline for Boundedness of sum of sin(sin(n))

Current License: CC BY-SA 4.0

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Aug 5 at 17:51 history became hot network question
S Aug 5 at 13:15 vote accept Oleksandr Liubimov
S Aug 5 at 13:15 vote accept Oleksandr Liubimov
S Aug 5 at 13:15
Aug 5 at 13:08 vote accept Oleksandr Liubimov
S Aug 5 at 13:15
Aug 5 at 12:34 comment added mathworker21 @AchimKrause Thanks. Don't know why I thought otherwise.
Aug 5 at 11:49 answer added David E Speyer timeline score: 42
Aug 5 at 11:46 comment added Achim Krause @mathworker21 I don't think that's true: Writing $\sin(n)$ as imaginary part of $e^{in}$, the partial sums evaluate to the imaginary part of a geometric sum $e^i \cdot \frac{e^{iN}-1}{e^i-1}$, where the numerator stays bounded by $2$ no matter how large $N$ gets.
Aug 5 at 11:42 answer added Achim Krause timeline score: 10
Aug 5 at 11:31 comment added mathworker21 As to your approach, I think even the partial sums of $\sin(n)$ are $\underline{\text{un}}$bounded.
Aug 5 at 10:55 history edited Oleksandr Liubimov CC BY-SA 4.0
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Aug 5 at 10:49 history edited Oleksandr Liubimov CC BY-SA 4.0
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Aug 5 at 10:10 review Close votes
Aug 10 at 2:40
S Aug 5 at 9:48 review First questions
Aug 5 at 11:04
S Aug 5 at 9:48 history asked Oleksandr Liubimov CC BY-SA 4.0