Another proof of Euler’s formula for 𝜁(2𝑘)

de Amo, E.; Carrillo, M.; Fernández-Sánchez, J.

doi:10.1090/S0002-9939-2010-10565-8

Another proof of Euler’s formula for $\zeta (2k)$
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by E. de Amo, M. Díaz Carrillo and J. Fernández-Sánchez PDF

Proc. Amer. Math. Soc. 139 (2011), 1441-1444 Request permission

Abstract:

We give a new proof of Euler’s formula related to the sum of the inverses of even powers of positive integers.

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