| Title:
|
Lower bounds for the discrepancy of some sequences (English) |
| Author:
|
Goto, Kazuo |
| Author:
|
Ohkubo, Yukio |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
5 |
| Year:
|
2004 |
| Pages:
|
487-502 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K38 |
| idZBL:
|
Zbl 1108.11054 |
| idMR:
|
MR2114620 |
| . |
| Date available:
|
2009-09-25T14:23:25Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133367 |
| . |
| Reference:
|
[1] BINGHAM H.-GOLDIE, C M.-TEUGELS J. L.: Regular Variation.Cambridge University Press, Cambridge, 1987. Zbl 0617.26001, MR 0898871 |
| Reference:
|
[2] GOTO K.-OHKUBO Y.: The discrepancy of the sequence $(n\alpha + (\log n)\beta)$.Acta Matһ. Hungar. 86 (2000), 39-47. Zbl 0980.11032, MR 1728588 |
| Reference:
|
[3] GOТO K.-OHKUBO Y.: Discrepancy of some special sequences.In: Analytic Number Тheory (C Jia, K. Matsumoto, eds.), Dev. Math. 6, Kluwer Academic Publishers, Dordrecht, 2002, pp. 143-155. MR 1901979 |
| Reference:
|
[4] IVIĆ A.: The Riemann Zeta-Function.Joһn Wiley and Sons, New York, 1985. Zbl 0583.10021, MR 0792089 |
| Reference:
|
[5] KARAТSUBA A. A.-VORONIN S. M.: The Riemann Zeta-Function.Walter de Gruyter, Berlin, 1992. MR 1183467 |
| Reference:
|
[6] KUIPERS L.-NIEDERREIТER H.: Uniform Distributгon of Sequences.Joһn Wiley and Sons, New York, 1974. MR 0419394 |
| Reference:
|
[7] OHKUBO Y.: Notes on Erdös-Turán inequality.J. Aust. Math. Sоc. Ser. A 67 (1999), 51-57. Zbl 0940.11029, MR 1699155 |
| Reference:
|
[8] ТIТCHMARSH E. C.: The Theory of the Riemann Zeta-Function.(2nd ed. revised by D. R. Heatһ-Brоwn), Clarendоn Press, Oxfоrd, 1986. MR 0882550 |
| Reference:
|
[9] ZYGMUND A.: Trigonometric Series Vol. I.Cambridge University Press, Cambridge, 1977. Zbl 0367.42001, MR 0617944 |
| . |
