%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 }