An analytical exercise

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This is a translation into English from the original Latin of Leonhard Euler's Exercitatio analytica, Nova Acta Academiae Scientarum Imperialis Petropolitinae 8 (1794), 69-72; E664 in the Enestrom index. In it Euler uses the infinite product identity for sin to prove some properties of the series for the Riemann zeta function for even n.
5 pages, seems to be the first translation into English

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History and Overview, Classical Analysis and ODEs, 01A50; 33B10

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http://salesiana.dossiersoluciones.com/handle/123456789/73515

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412154
 http://arxiv.org/abs/math/0412154

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arXiv