Timeline for When is there a closed form for $\sum_{n=1}^{\infty} \frac{P(n)}{Q(n)}$?
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Oct 16, 2015 at 19:15 | comment | added | GH from MO | @NoamD.Elkies: Yes, I meant what is proven. Probably the odd zeta values are even algebraically independent, which shows in particular that the OP's question is too broad (in addition to being too vague). | |
Oct 16, 2015 at 18:57 | comment | added | Noam D. Elkies | "Unknown" meaning unproven, yes, but it's morally certain that $\zeta(5) \notin \bf Q$... | |
Oct 16, 2015 at 18:36 | history | answered | GH from MO | CC BY-SA 3.0 |