Geodesic
On Fabry's gap theorem
Archivum mathematicum, Tome 38 (2002) no. 4, pp. 307-309 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 
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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/

[1] Landau L.: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie. Berlin 1929.

[2] Turán P.: On the gap-theorem of Fabry. Acta Math. Sci. Acad. Hung. 1 (1947), 21–29. | MR | Zbl

[3] Turán P.: On a new method of analysis and its applications. Wiley-Interscience Publication, New York etc. (1984). | MR | Zbl

[4] Szüsz P.: On Hadamard’s gap theorem. Studies in pure mathematics to the memory of Paul Turán, Budapest 1983, 733–736. | MR | Zbl