| Title:
|
Metric distribution results for sequences $(\{q\sb n\vec\alpha\})$ (English) |
| Author:
|
Albrecher, Hansjörg |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
195-206 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K06 |
| MSC:
|
11K45 |
| MSC:
|
11K55 |
| idZBL:
|
Zbl 1005.11036 |
| idMR:
|
MR1935117 |
| . |
| Date available:
|
2009-09-25T14:07:14Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128952 |
| . |
| Reference:
|
[1] DRMOTA M., TICHY R.: Sequences, Discrepancies and Applications.Lecture Notes in Math. 1651, Springer, New York-Berlin-Heidelberg-Tokyo, 1997. Zbl 0877.11043, MR 1470456 |
| Reference:
|
[2] DYER T., HARMAN G.: Sums involving common divisors.J. London Math. Soc. (2) 34 (1986), 1-11. Zbl 0602.10041, MR 0859143 |
| Reference:
|
[3] GÁL I.: A theorem concerning diophantine approximation.Nieuw Arch. Wisk. 23 (1949), 12-38. MR 0027788 |
| Reference:
|
[4] KOKSMA J.: On a certain integral in the theory of uniform distribution.Indag. Math. 13 (1951), 285 287. Zbl 0043.27701, MR 0045165 |
| Reference:
|
[5] KUIPERS L., NIEDERREITER H.: Uniform Distribution of Sequences.Pure Apr 1. Math., Wiley-Intersci. Publ., John Wiley & Sons, New York, 1974. Zbl 0281.10001, MR 0419394 |
| Reference:
|
[6] MAUDUIT C., SÁRKÖZY A. : On finite pseudorandom binary sequences VI (On $(n^i\ n)$ sequences).Monatsh. Math. 130 (2000), 261-280. Zbl 1011.11054, MR 1785423 |
| Reference:
|
[7] MÓRICZ F., SERFLING R., STOUT W.: Moment and probability bounds with quasisuperadditive structure for the maximum partial sum.Ann. Probab. 10 (1982), 1032-1040. MR 0672303 |
| Reference:
|
[8] PHILIPP W., TICHY R.: Metric theorems for distribution measures of pseudorandom sequences.Monatsh. Math. (2001) (To appear). Zbl 1033.11039, MR 1914808 |
| Reference:
|
[9] SCHOISSENGEIER J.: The integral mean of the discrepancy of the sequence (nα).Monatsh. Math. 131 (2000), 227-234. Zbl 0972.11067, MR 1801750 |
| Reference:
|
[10] STRAUCH O.: An improvement of an inequality of Koksma.Indag. Math. (N.S.) 3 (1992), 113-118. Zbl 0755.11023, MR 1157523 |
| Reference:
|
[11] STRAUCH O.: $L^2$ discrepancy.Math. Slovaca 44 (1994), 601-632. MR 1338433 |
| Reference:
|
[12] ZINTERHOF P.: Über einige Abschatzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden.Sitzungsber. Österreich. Akad. Wiss. Math.-Natur. Kl. II 185 (1976), 121-132. MR 0501760 |
| . |
