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.
Classification : 11N30, 30A10, 30B10
Keywords: gap theorems; lacunary series; power sum method
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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/