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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