Probabilistically Proving that [zeta] (2) = n^sup 2^/6

Probabilistically Proving that [zeta] (2) = n^sup 2^/6

We give a short proof of the identity ζ(2) = π^2/6 using tools from elementary probability. Related identities, due to Euler, are also briefly discussed. [PUBLICATION ABSTRACT]

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Veröffentlicht in:The American mathematical monthly 2011-08, Vol.118 (7), p.1
1. Verfasser: Pace, Luigi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical functions
Mathematical problems
Probability distribution
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Zusammenfassung:We give a short proof of the identity ζ(2) = π^2/6 using tools from elementary probability. Related identities, due to Euler, are also briefly discussed. [PUBLICATION ABSTRACT]
ISSN:0002-9890
1930-0972