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On the irrationality of factorial series II
- Source :
-
Journal of Number Theory . Mar2010, Vol. 130 Issue 3, p595-607. 13p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper we give irrationality results for numbers of the form where the numbers 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 for Gaussian integers . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 130
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 47736624
- Full Text :
- https://doi.org/10.1016/j.jnt.2009.10.005