%0 Generic %1 citeulike:3036307 %A Euler, Leonhard %D 2004 %K Vor1800 available-in-tex-format combinatorics mathematics pre1800 %T The expansion of the infinite product \$(1-x)(1-xx)(1-x^3)(1-x^4)(1-x^5)(1-x^6)\$ etc. into a single series %U http://arxiv.org/abs/math/0411454 %X This is a translation from the Latin of the original paper. In this paper, Euler proves the well known pentagonal number theorem in this paper, quite possibly the first proof of this theorem (I have not been able to find any earlier paper by him that gives a proof of the theorem, although in at least one earlier paper he conjectures the validity of this theorem).

@misc{citeulike:3036307, abstract = {This is a translation from the Latin of the original paper. In this paper, Euler proves the well known pentagonal number theorem in this paper, quite possibly the first proof of this theorem (I have not been able to find any earlier paper by him that gives a proof of the theorem, although in at least one earlier paper he conjectures the validity of this theorem).}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/244b5accb6a04a14f16b72e1046ab06a0/rwst}, citeulike-article-id = {3036307}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0411454}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0411454}, description = {my bookmarks from citeulike}, eprint = {math/0411454}, interhash = {95785cbb54ddd51ff7a09601deac1487}, intrahash = {44b5accb6a04a14f16b72e1046ab06a0}, keywords = {Vor1800 available-in-tex-format combinatorics mathematics pre1800}, month = Dec, posted-at = {2008-07-23 08:59:30}, priority = {2}, timestamp = {2009-08-06T10:31:27.000+0200}, title = {The expansion of the infinite product \$(1-x)(1-xx)(1-x^3)(1-x^4)(1-x^5)(1-x^6)\$ etc. into a single series}, url = {http://arxiv.org/abs/math/0411454}, year = 2004 }