E591 -- De relatione inter ternas pluresve quantitates instituenda
(On the relation between three and more quantities which are to be instituted)
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.
Originally published in Opuscula Analytica 2, 1785, pp. 91-101
Opera Omnia: Series 1, Volume 4, pp. 136 - 145
- Reprinted in Commentat. arithm. 2, 1849, pp. 99-104 [E591a]
- 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. 356-372 (1979).
- Jahnke HN., “Arithmeticization of mathematics in the 1st-half of the 19th-century - Cauchy analysis as viewed by the mathematician Ohm, Martin.” Archive for History of Exact Sciences, 37 (2), pp. 101-182 (1987).
- Pustyl'nikov, LD.,
Infinite-dimensional generalized continued fractions, distribution of
quadratic residues and non-residues and ergodic theory".
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