E243 -- Observatio de summis divisorum
(An observation on the sums of divisors)
Summary:
(based on Jordan Bell's abstract)
This is partly a re-run of E152 and
E175. Euler gives a recurrence relation that gives the sum of the divisors of a
positive integer constructed via the pentagonal numbers.
According
to the records, it was presented to the St. Petersburg Academy on April 6, 1752.
Publication:
-
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 5, 1760, pp. 59-74
-
Opera Omnia: Series 1, Volume 2, pp. 373 - 389
- According to Jacobi, the manuscript of the printed treatise can be found in the archive of the Berlin Academy.
- Reprinted in Commentat. arithm. 1, 1849, pp. 146-154 [E243a]
- A handwritten French translation of this treatise can be found in the library of the observatory in Uccle, near Brussels.
Documents Available:
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