Probabilistically Proving that ζ(2) = π2/6

Author: Pace Luigi  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.118, Iss.7, 2011-08, pp. : 641-643

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Abstract

We give a short proof of the identity ζ(2) = π2/6 using tools from elementary probability. Related identities, due to Euler, are also briefly discussed.