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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Another proof of Euler's formula for $ \zeta (2k)$


Authors: E. de Amo, M. Díaz Carrillo and J. Fernández-Sánchez
Journal: Proc. Amer. Math. Soc. 139 (2011), 1441-1444
MSC (2000): Primary 40C15; Secondary 40C99
Published electronically: September 30, 2010
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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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E. de Amo
Affiliation: Departamento de Algebra y Análisis Matemático, Universidad de Almería, 04120-Almeria, Spain
Email: edeamo@ual.es

M. Díaz Carrillo
Affiliation: Departamento de Análisis Matemático, Universidad de Granada, 18071-Granada, Spain
Email: madiaz@ugr.es

J. Fernández-Sánchez
Affiliation: Departamento de Algebra y Análisis Matemático, Universidad de Almería, 04120-Almeria, Spain

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10565-8
PII: S 0002-9939(2010)10565-8
Received by editor(s): March 29, 2010
Received by editor(s) in revised form: April 21, 2010, and April 29, 2010
Published electronically: September 30, 2010
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2010 American Mathematical Society