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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestI don't have a proof yet, but I suspect that the minimum is at \(m=\pi\).

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I'm pretty sure it falls between \(3.11 \) and \(3.13\).

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Yes, I checked 3.12 and it appears to lower... oh well, that would have been a really cool minimum :(

I don't know if this is really helpful but this is equivalent to minimizing \({Li}_{-n}(\frac{1}{n})\). (The polylogarithm function)

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Comment deleted Jun 09, 2015

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I didn't restrict \(m\) to be an integer. A value of \(3.11\) yields a lower sum.

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