Abstract
We know that the infinite series \( \sum\nolimits_{n \ge 1} {\frac{1}{n}} \) does not converge. Indeed, in Chapter 1 we have seen that even the series \( \sum\nolimits_{p \in p} {\frac{1}{p}} \) diverges. However, the sum of the reciprocals of the squares converges (although very slowly, as we will also see), and it produces an interesting value.
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Aigner, M., Ziegler, G.M. (2004). Three times π2/6. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05412-3_7
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DOI: https://doi.org/10.1007/978-3-662-05412-3_7
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