Low-discrepancy point sets obtained by digital constructions over finite fields

Harald Niederreiter

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 1, page 143-166
  • ISSN: 0011-4642

How to cite

top

Niederreiter, Harald. "Low-discrepancy point sets obtained by digital constructions over finite fields." Czechoslovak Mathematical Journal 42.1 (1992): 143-166. <http://eudml.org/doc/31269>.

@article{Niederreiter1992,
author = {Niederreiter, Harald},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasi-Monte Carlo methods; low-discrepancy point sets; star discrepancy; digit expansion; Laurent series expansions},
language = {eng},
number = {1},
pages = {143-166},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Low-discrepancy point sets obtained by digital constructions over finite fields},
url = {http://eudml.org/doc/31269},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Niederreiter, Harald
TI - Low-discrepancy point sets obtained by digital constructions over finite fields
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 1
SP - 143
EP - 166
LA - eng
KW - quasi-Monte Carlo methods; low-discrepancy point sets; star discrepancy; digit expansion; Laurent series expansions
UR - http://eudml.org/doc/31269
ER -

References

top
  1. 10.2307/2008509, Math. Comp. 54 (1990), 737–748. (1990) MR1011436DOI10.2307/2008509
  2. Sommes de carrés dans F q [ X ] , Dissertationes Math. 215 (1983). (1983) MR0718932
  3. 10.2307/2371075, Amer. J. Math. 54 (1932), 39–50. (1932) Zbl0003.19502MR1506871DOI10.2307/2371075
  4. 10.1215/S0012-7094-47-01484-1, Duke Math. J. 14 (1947), 1105–1120. (1947) Zbl0032.00204MR0023304DOI10.1215/S0012-7094-47-01484-1
  5. 10.4064/aa-41-4-337-351, Acta Arith. 41 (1982), 337–351. (1982) Zbl0442.10035MR0677547DOI10.4064/aa-41-4-337-351
  6. 10.4064/aa-11-4-461-488, Acta Arith. 11 (1966), 461–488. (1966) Zbl0151.03902MR0201422DOI10.4064/aa-11-4-461-488
  7. Applications of Number Theory to Numerical Analysis, (1981), Springer, Berlin. (1981) MR0617192
  8. Finite Fields, Addison-Wesley, Reading, MA, 1983. (1983) MR0746963
  9. 10.1007/BF02310104, Computing 39 (1987), 155–163. (1987) MR0919665DOI10.1007/BF02310104
  10. 10.1090/S0025-5718-1976-0457392-1, Math. Comp. 30 (1976), 571–597. (1976) MR0457392DOI10.1090/S0025-5718-1976-0457392-1
  11. 10.1090/S0002-9904-1978-14532-7, Bull. Amer. Math. Soc. 84 (1978), 957–1041. (1978) Zbl0404.65003MR0508447DOI10.1090/S0002-9904-1978-14532-7
  12. 10.1007/BF01490206, Monatsh. Math. 102 (1986), 155–167. (1986) Zbl0584.10034MR0861937DOI10.1007/BF01490206
  13. Pseudozufallszahlen und die Theorie der Gleichverteilung, Sitzungsber. Osterr. Akad. Wiss. Math.-Naturwiss. Kl. Abt. II 195 (1986), 109–138. (1986) Zbl0616.10040MR0881335
  14. 10.1007/BF01318069, Monatsh. Math. 103 (1987), 269–288. (1987) Zbl0624.12011MR0897953DOI10.1007/BF01318069
  15. 10.1137/0908084, SIAM J. Sci. Statist. Computing 8 (1987), 1035–1051. (1987) Zbl0634.65003MR0911073DOI10.1137/0908084
  16. 10.1007/BF01294651, Monatsh. Math. 104 (1987), 273–337. (1987) Zbl0626.10045MR0918037DOI10.1007/BF01294651
  17. Quasi-Monte Carlo methods for multidimensional numerical integration, Numerical Integration III (Oberwolfach 1987), Internat. Series of Numer. Math., Vol. 85, Birkhäuser, Basel, 1988, pp. 157–171. (1988) Zbl0662.65021MR1021532
  18. 10.1016/0022-314X(88)90025-X, J. Number Theory 30 (1988), 51–70. (1988) Zbl0651.10034MR0960233DOI10.1016/0022-314X(88)90025-X
  19. A combinatorial problem for vector spaces over finite fields, Discrete Math. (to appear). (to appear) Zbl0747.11063MR1139449
  20. 10.4064/aa-21-1-45-50, Acta Arith. 21 (1972), 45–50. (1972) Zbl0244.10035MR0319933DOI10.4064/aa-21-1-45-50
  21. The distribution of points in a cube and the approximate evaluation of integrals, Zh. Vychisl. Mat. i Mat. Fiz. 7 (1967), 784–802. (Russian) (1967) Zbl0185.41103MR0219238
  22. A new family of low-discrepancy point sets, Tech., . 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.