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Title: On Fabry's gap theorem (English)
Author: Puchta, Jan-Christoph
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 38
Issue: 4
Year: 2002
Pages: 307-309
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: gap theorems
Keyword: lacunary series
Keyword: power sum method
MSC: 11N30
MSC: 30A10
MSC: 30B10
idZBL: Zbl 1090.30003
idMR: MR1942660
Date available: 2008-06-06T22:31:06Z
Last updated: 2012-05-10
Stable URL:
Reference: [1] Landau L.: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie.Berlin 1929.
Reference: [2] Turán P.: On the gap-theorem of Fabry.Acta Math. Sci. Acad. Hung. 1 (1947), 21–29. Zbl 0029.39302, MR 0022905
Reference: [3] Turán P.: On a new method of analysis and its applications.Wiley-Interscience Publication, New York etc. (1984). Zbl 0544.10045, MR 0749389
Reference: [4] Szüsz P.: On Hadamard’s gap theorem.Studies in pure mathematics to the memory of Paul Turán, Budapest 1983, 733–736. Zbl 0523.30001, MR 0820266


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