English Title
On the resolution of formulas of squares of indeterminates by integral numbers
Enestrom Number
279
Fuss Index
62
Original Language
Latin
Archive Notes
According to Jacobi, a treatise with this title was read to the Berlin Academy on September 21, 1758. According to St. Petersburg Academy records, it was presented to that Academy on October 15, 1759.
Content Summary
In this paper, Euler returns to the equation axx+bx+c = yy, first approached in E29, and uses the tools of Pell's equation. He also discovers some of the properties of quadratic reciprocity. On the last page, he uses the phrase "Theory of Numbers," possibly the first use of this term.
Published as
Journal article
Published Date
1764
Written Date
1758
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 9, pp. 3-39.
Opera Omnia Citation
Series 1, Volume 2, pp.576-611.
Record Created
2018-09-25
