Euler E859: Letter excerpt on reciprocal even-power series with Eneström's historical note | English translation | OMH v1.0
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Description
English edition of Gustaf Eneström’s Note historique sur la somme des valeurs inverses des nombres carrés (Eneström E859), titled “Letter excerpt on reciprocal even-power series with Eneström’s historical note” in English. It includes Leonhard Euler’s published E859 passage from his letter of 27 August 1737 to Johann I Bernoulli, with a separately attributed complete translation of Gustaf Eneström’s three-page 1890 article. The article examines priority for the reciprocal-square sum and the relation between Euler’s and Bernoulli’s methods; all formulas and six original notes are included.
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Sources: G. Eneström, Note historique sur la somme des valeurs inverses des nombres carrés, Bibliotheca Mathematica, nouvelle série 4, no. 1 (1890), pp. 22–24; Euler’s quotation appears on p. 23. Source scan: Internet Archive, https://archive.org/details/sim_bibliotheca-mathematica_1890_4_1. Catalogue: https://scholarlycommons.pacific.edu/euler-works/859/. Johann I Bernoulli is the author of the longer quoted letter passage. E857 prints a different extract from the same Euler letter; E863 later includes the E859 passage with variants.
Notes
The exact primary Internet Archive item's Out-of-copyright publisher field is a provider status assertion, not a Creative Commons licence, scan-reuse warranty or universal legal clearance. Comparison-provider rights remain separately qualified. Proposed CC BY 4.0 covers only new English translation and editorial text, excluding historical sources and other third-party material. The English PDF contains no scan images. This edition includes the E859 passage and a separately attributed complete translation of Gustaf Eneström's three-page 1890 article, including all six original notes. Johann I Bernoulli is the author of the longer quoted letter passage. E857 prints a different extract from the same Euler letter; E863 later includes the E859 passage with variants.