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TopNewestI don't have a proof yet, but I suspect that the minimum is at \(m=\pi\). – Dylan Pentland · 2 years, 1 month ago

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– Pi Han Goh · 2 years, 1 month ago

I'm pretty sure it falls between \(3.11 \) and \(3.13\).Log in to reply

I don't know if this is really helpful but this is equivalent to minimizing \({Li}_{-n}(\frac{1}{n})\). (The polylogarithm function) – Dylan Pentland · 2 years, 1 month ago

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– Pi Han Goh · 2 years, 1 month ago

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