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Irrationality of certain infinite series
-
Wolfram Koepf
Published/Copyright:
April 19, 2010
Abstract
In this paper a new direct proof for the irrationality of Euler´s number
e=∑k=0∞ 1/k!
is presented. Furthermore, formulas for the base b digits are given which, however, are not computably effective. Finally we generalize our method and give a simple criterium for some fast converging series representing irrational numbers.
Published Online: 2010-04-19
Published in Print: 2010-02
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Articles in the same Issue
- Heinrich Begehr: Citation for his 70th birthday
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