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97.09 The devil's series – Did it fool Euler?

Published online by Cambridge University Press:  23 January 2015

Thomas J. Osler  and
Steven Donahue
Thomas J. Osler
Affiliation:
Mathematics Department, Rowan University, Glassboro, NJ 08028, USA, e-mail:[email protected]
Steven Donahue
Affiliation:
Mathematics Department, Rowan University, Glassboro, NJ 08028, USA, e-mail:[email protected]
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Abstract

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Type
Notes 97.01 to 97.16
Information
The Mathematical Gazette , Volume 97 , Issue 538 , March 2013 , pp. 133 - 137
Copyright
Copyright © The Mathematical Association 2013

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References

1. Euler, L., Exercitatio analytica, ubi imprimis seriei maxime generalis summatio traditur. (An analytic exercise, for which a most general summation of series is given.), E 685. Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 9, 1795, pp. 41–53. Opera Omnia: Series I, Volume 16, pp. 266-281. On the web at http://eulerarchive.maa.org/ Google Scholar
2. Abramowitz, M. and Stegun, I., Handbook of mathematical functions: with formulas, graphs, and mathematical tables, Dover Publications, 1964.Google Scholar
3. Osler, T. J., Euler and the functional equation for the zeta function. The Mathematical Scientist. 34 (2009), pp. 62–73.Google Scholar