English Title
Discovery of a most extraordinary law of numbers relating to the sum of their divisors
Enestrom Number
175
Fuss Index
3
Original Language
French
Archive Notes
This paper was apparently published three times: Fuss didn't know it had been published in Bibliothéque impartiale when he put it in the Commentationes artihmeticae collectae in 1849 and again in the Opera postuma in 1862.
Content Summary
Euler again uses S(n) to denote the sum of the divisors of n, and presents the various properties of the function. It's possible that much of the material here is also in E152, though this paper also has some properties of partitions (starting in section 9).
Published as
Magazine article
Published Date
1751
Written Date
1747
Original Source Citation
Bibliotheque impartiale, Volume 3, pp. 10-31.
Opera Omnia Citation
Series 1, Volume 2, pp.241-253.
Record Created
2018-09-25
E175en.pdf (100 kB)
