This is a translation to English from the original Latin of Leonhard Euler's
``Observatio de summis divisorum'', Novi Commentarii academiae scientiarum
Petropolitanae 5 (1760), 59-74; E243 in the Enestrom index. In it he gives a
recurrence relation that yields the sum of the divisors of a positive integer
number, which is constructed using the pentagonal numbers.
%0 Generic
%1 citeulike:3036305
%A Euler, Leonhard
%D 2004
%K Vor1800 available-in-tex-format mathematics number-theory pre1800
%T An observation on the sums of divisors
%U http://arxiv.org/abs/math/0411587
%X This is a translation to English from the original Latin of Leonhard Euler's
``Observatio de summis divisorum'', Novi Commentarii academiae scientiarum
Petropolitanae 5 (1760), 59-74; E243 in the Enestrom index. In it he gives a
recurrence relation that yields the sum of the divisors of a positive integer
number, which is constructed using the pentagonal numbers.
@misc{citeulike:3036305,
abstract = {This is a translation to English from the original Latin of Leonhard Euler's
``Observatio de summis divisorum'', Novi Commentarii academiae scientiarum
Petropolitanae 5 (1760), 59-74; E243 in the Enestrom index. In it he gives a
recurrence relation that yields the sum of the divisors of a positive integer
number, which is constructed using the pentagonal numbers.},
added-at = {2009-08-02T17:14:35.000+0200},
archiveprefix = {arXiv},
author = {Euler, Leonhard},
biburl = {https://www.bibsonomy.org/bibtex/2740141c773f08f99b8cdaedd66cef0f7/rwst},
citeulike-article-id = {3036305},
citeulike-linkout-0 = {http://arxiv.org/abs/math/0411587},
citeulike-linkout-1 = {http://arxiv.org/pdf/math/0411587},
description = {my bookmarks from citeulike},
eprint = {math/0411587},
interhash = {e2bd30239c8b73710165efab74a2822f},
intrahash = {740141c773f08f99b8cdaedd66cef0f7},
keywords = {Vor1800 available-in-tex-format mathematics number-theory pre1800},
month = Dec,
posted-at = {2008-07-23 08:58:50},
priority = {2},
timestamp = {2009-08-06T10:30:19.000+0200},
title = {An observation on the sums of divisors},
url = {http://arxiv.org/abs/math/0411587},
year = 2004
}