| 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:
|
http://hdl.handle.net/10338.dmlcz/107844 |
| . |
| 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 |
| . |
