On Fabry's gap theorem
Archivum mathematicum, Tome 38 (2002) no. 4, pp. 307-309
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By combining Turán’s proof of Fabry’s gap theorem with a gap theorem of P. Szüsz we obtain a gap theorem which is more general then both these theorems.
By combining Turán’s proof of Fabry’s gap theorem with a gap theorem of P. Szüsz we obtain a gap theorem which is more general then both these theorems.
Classification :
11N30, 30A10, 30B10
Keywords: gap theorems; lacunary series; power sum method
Keywords: gap theorems; lacunary series; power sum method
@article{ARM_2002_38_4_a6,
author = {Puchta, Jan-Christoph},
title = {On {Fabry's} gap theorem},
journal = {Archivum mathematicum},
pages = {307--309},
year = {2002},
volume = {38},
number = {4},
mrnumber = {1942660},
zbl = {1090.30003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2002_38_4_a6/}
}
Puchta, Jan-Christoph. On Fabry's gap theorem. Archivum mathematicum, Tome 38 (2002) no. 4, pp. 307-309. http://geodesic.mathdoc.fr/item/ARM_2002_38_4_a6/