%0 Generic %1 citeulike:1345637 %A Euler, Leonhard %D 2007 %K Vor1800 available-in-tex-format mathematics number-theory pre1800 %T Speculations on some characteristic properties of numbers %U http://arxiv.org/abs/0705.3929 %X Translation of the Latin original "Speculationes circa quasdam insignes proprietates numerorum" (1784). E564 in the Enestrom index. In this paper Euler talks about Farey sequences and proves some results about the phi function, the number of positive integers less than and relatively prime to an integer. Euler uses the notation pi instead of phi.

@misc{citeulike:1345637, abstract = {Translation of the Latin original "Speculationes circa quasdam insignes proprietates numerorum" (1784). E564 in the Enestrom index. In this paper Euler talks about Farey sequences and proves some results about the phi function, the number of positive integers less than and relatively prime to an integer. Euler uses the notation pi instead of phi.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/21cacb3dfa9f55d0fdaa25a0a1a4fe326/rwst}, citeulike-article-id = {1345637}, citeulike-linkout-0 = {http://arxiv.org/abs/0705.3929}, citeulike-linkout-1 = {http://arxiv.org/pdf/0705.3929}, description = {my bookmarks from citeulike}, eprint = {0705.3929}, interhash = {19676ad39cf17eabc849cc7f74bdcd45}, intrahash = {1cacb3dfa9f55d0fdaa25a0a1a4fe326}, keywords = {Vor1800 available-in-tex-format mathematics number-theory pre1800}, month = May, posted-at = {2008-07-23 08:40:41}, priority = {2}, timestamp = {2009-08-05T16:54:36.000+0200}, title = {Speculations on some characteristic properties of numbers}, url = {http://arxiv.org/abs/0705.3929}, year = 2007 }