Title:
|
Some remarks on the discrepancy of the sequence $\bigl(\alpha\sqrt{n}\bigr)$ (English) |
Author:
|
Baxa, Christoph |
Language:
|
English |
Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
ISSN:
|
1211-4774 |
Volume:
|
6 |
Issue:
|
1 |
Year:
|
1998 |
Pages:
|
27-30 |
. |
Category:
|
math |
. |
MSC:
|
11K31 |
MSC:
|
11K38 |
idZBL:
|
Zbl 1024.11053 |
idMR:
|
MR1822511 |
. |
Date available:
|
2009-01-30T09:05:35Z |
Last updated:
|
2013-10-22 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120536 |
. |
Reference:
|
[1] Baxa C.: On the discrepancy of the sequence $(\alpha\sqrt{n})$ II.Arch. Math, (to appear). MR 1612590 |
Reference:
|
[2] Baxa C., Schoißengeier J.: On the discrepancy of the sequence $(\alpha\sqrt{n})$.J. Lond. Math. Soc (to appear). MR 1361562 |
Reference:
|
[3] Lerch M.: Sur quelques applications des sommes de Gauss.Ann. Mat. Pura Appl. (3. Ser.) 11 (1905), 79-91. |
Reference:
|
[4] Schoißengeier J. : On the discrepancy of sequences $(\alpha n^\sigma$.Acta Math. Acad. Sci. Hung. 38 (1981), 29-43. Zbl 0484.10032, MR 0634563, 10.1007/BF01917516 |
. |