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Irrationality of certain infinite series II
-
Wolfram Koepf
Published/Copyright:
April 11, 2011
Abstract
In a recent paper a new direct proof for the irrationality of Euler´s number
e = ∑k = 0∞ 1/k!
and on the same lines a simple criterion for some fast converging series representing irrational numbers was given. In the present paper, we give some generalizations of our previous results.
Keywords: irrationality; infinite series
Published Online: 2011-04-11
Published in Print: 2011-04
© by Oldenbourg Wissenschaftsverlag, Kassel, Germany
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Articles in the same Issue
- A Brunn–Minkowski inequality for a Finsler–Laplacian
- Irrationality of certain infinite series II
- Elastic catenoids
- On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk
- Universal approximation by translates of fundamental solutions of elliptic equations
- Exclusion of boundary branch points for minimal surfaces
- On the uniform convergence of double sine integrals over –ℝ 2+
Articles in the same Issue
- A Brunn–Minkowski inequality for a Finsler–Laplacian
- Irrationality of certain infinite series II
- Elastic catenoids
- On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk
- Universal approximation by translates of fundamental solutions of elliptic equations
- Exclusion of boundary branch points for minimal surfaces
- On the uniform convergence of double sine integrals over –ℝ 2+
