On the sums of series of reciprocals by Leonhard Euler (1740, Eneström E41)

By Leonhard Euler; English translation by Jordan Bell.

Presented to the St Petersburg Academy on 5 December 1735. Published as "De summis serierum reciprocarum" in Commentarii academiae scientiarum Petropolitanae 7 (1740), pp. 123–134. The linked translation is arXiv version 2, dated 5 February 2008.

Online text: arxiv.org/pdf/math/0506415

Cited passages: English translation, p. 1, §2 and publication note; pp. 3–4, §§3–8: sine series, roots and coefficients.