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ON THE TRANSCENDENCE OF SOME INFINITE SERIES

Published online by Cambridge University Press:  01 January 2008

JAROSLAV HANČL  and
JAN ŠTĚPNIČKA
JAROSLAV HANČL
Affiliation:
Department of Mathematics and Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic e-mail: [email protected], [email protected]
JAN ŠTĚPNIČKA
Affiliation:
Department of Mathematics and Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic e-mail: [email protected], [email protected]
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Abstract

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The paper deals with a criterion for the sum of a special series to be a transcendental number. The result does not make use of divisibility properties or any kind of equation and depends only on the random oscillation of convergence.

Keywords

11J81
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 1 , January 2008 , pp. 33 - 37
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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