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arxiv: math/0412154 · v1 · submitted 2004-12-08 · 🧮 math.HO · math.CA

An analytical exercise

classification 🧮 math.HO math.CA
keywords euleracademiaeactaanalyticaanalyticale664enestromenglish
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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.

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