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On the irrationality of certain series

Published online by Cambridge University Press:  24 October 2008

Peter B. Borwein
Peter B. Borwein
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada
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Abstract

We prove that the series

are irrational and not Liouville whenever q is an integer (q ╪ 0, ±1) and r is a nonzero rational (r ╪ −qn).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 141 - 146
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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