Geodesic
ON THE TRANSCENDENCE OF SOME INFINITE SERIES
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 33-37

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DOI

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.
DOI : 10.1017/S0017089507003989
Mots-clés : 11J81 
HANČL, JAROSLAV; ŠTĚPNIČKA, JAN. ON THE TRANSCENDENCE OF SOME INFINITE SERIES. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 33-37. doi: 10.1017/S0017089507003989
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     title = {ON {THE} {TRANSCENDENCE} {OF} {SOME} {INFINITE} {SERIES}},
     journal = {Glasgow mathematical journal},
     pages = {33--37},
     year = {2008},
     volume = {50},
     number = {1},
     doi = {10.1017/S0017089507003989},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003989/}
}
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