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for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.

42 votes
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Nonexistence of boundary between convergent and divergent series?

A rather detailed discussion of the subject can be found in Knopp's Theory and Application of Infinite Series (see § 41, pp. 298–305). He mentions that the idea of a possible boundary between converge …
Andrey Rekalo's user avatar
22 votes
Accepted

Ramanujan's eccentric Integral formula

This is one of those precious cases when Ramanujan himself provided (a sketch of) a proof. The identity was published in his paper "Some definite integrals" (Mess. Math. 44 (1915), pp. 10-18) togethe …
Andrey Rekalo's user avatar