E591  De relatione inter ternas pluresve quantitates instituenda
(On the relation between three and more quantities which are to be instituted)
Summary:
This seems to be about rational approximations of algebraic numbers.
According to the records, it was presented to the St.
Petersburg Academy on August 14, 1775.
Publication:

Originally published in Opuscula Analytica 2, 1785, pp. 91101

Opera Omnia: Series 1, Volume 4, pp. 136  145
 Reprinted in Commentat. arithm. 2, 1849, pp. 99104 [E591a]
Documents Available:
 Original Publication: E591
 Geoff Smith has translated E591 into English.
 The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E591 include:
 Barbeau EJ., “Euler subdues a very obstreperous series.” American Mathematical Monthly, 86 (5), pp. 356372 (1979).
 Jahnke HN., “Arithmeticization of mathematics in the 1sthalf of the 19thcentury  Cauchy analysis as viewed by the mathematician Ohm, Martin.” Archive for History of Exact Sciences, 37 (2), pp. 101182 (1987).
 Pustyl'nikov, LD.,
"
Infinitedimensional generalized continued fractions, distribution of
quadratic residues and nonresidues and ergodic theory".
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