Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594828 | Journal of Number Theory | 2010 | 13 Pages |
Abstract
In this paper we give irrationality results for numbers of the form where the numbers an behave like a geometric progression for a while. The method is elementary, not using differentiation or integration. In particular, we derive elementary proofs of the irrationality of π and em for Gaussian integers m≠0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory