English Title

Discovery of a most extraordinary law of numbers relating to the sum of their divisors

Authors

Leonhard Euler

Enestrom Number

175

Fuss Index

3

Original Language

French

Published as

Magazine article

Published Date

1751

Written Date

1747

Archive Notes

This paper was apparently published three times: Fuss didn't know it had been published in Bibliothèque impartiale when he put it in the Commentationes artihmeticae 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).

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

Included in

Mathematics Commons

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