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Results tagged with sequences-and-series
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user 512834
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.
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Structural differences between closed forms of two related infinite products?
Too long for comment
Think I made some progress, but not sure how to formalize this further. It seems that also for the individual factors $C(s,a,n)$ and $R(s,a,n)$, the closed forms are structured in …
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Is there any sequence $a_n$ of nonnegative numbers for which $\sum_{n \geq 1}a_n^2 <\infty$ ...
Solution (based on Buczolich Zoltán's solution): There exists such a sequence. For every $M \in \mathbb{N}$, choose a set $\mathcal{P}_M = \left\{ p_{j, M} : j = 1, \ldots, l_M \right\}$ of distinct …
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Conjectured closed form of $\int_0^1\frac{\ln^3(1+x)\,\ln^3x}x\mathrm{d}x$
I posted this question on Math Stack Exchange, but there were no helpful comments or answers
https://math.stackexchange.com/q/4874446/1298448
How to integrate $${\displaystyle \int_0^1\frac{\ln^3(1+x) …
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