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Trois méthodes pour calculer π2/6

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Raisonnements divins

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Résumé

Nous savons que la série \( \sum {_{n \geqslant 1} \frac{1} {2}} \) n’est pas convergente et nous avons vu au chapitre 1 que meme la série \( \sum {_{p \in \mathbb{P}} \frac{1} {p}} \) diverge. Toutefois, la série des inverses des carrés converge (bien que très lentement comme nous le verrons) vers une valeur intéressante.

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Authors and Affiliations

  1. Institut für Mathematik II, Freie Universität Berlin, Arnimallee 3, 14195, Berlin, Germany

    Martin Aigner

  2. Institut für Mathematik, Freie Universität Berlin, Arnimallee 2, 14195, Berlin, Germany

    Günter M. Ziegler

Authors
  1. Martin Aigner
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  2. Günter M. Ziegler
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Aigner, M., Ziegler, G.M. (2013). Trois méthodes pour calculer π2/6. In: Raisonnements divins. Springer, Paris. https://doi.org/10.1007/978-2-8178-0400-2_8

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