Article ID Journal Published Year Pages File Type
4594828 Journal of Number Theory 2010 13 Pages PDF
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