ArticleOriginal scientific text

Title

Nets obtained from rational functions over finite fields

Authors 1

Affiliations

  1. Institut für Mathematik, Hellbrunnerstrasse 34, A-5020 Salzburg, Austria

Bibliography

  1. E. Hlawka, Zur angenäherten Berechnung mehrfacher Integrale, Monatsh. Math. 66 (1962), 140-151.
  2. N. M. Korobov, The approximate computation on multiple integrals, Dokl. Akad. Nauk SSSR 124 (1959), 1207-1210 (in Russian).
  3. N. M. Korobov, Number-theoretical Methods in Approximate Analysis, Fizmatgiz, Moscow 1963 (in Russian).
  4. L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York 1974.
  5. G. Larcher, On the distribution of sequences connected with good lattice points, Monatsh. Math. 101 (1986), 135-150.
  6. H. Niederreiter, Existence of good lattice points in the sense of Hlawka, Monatsh. Math. 86 (1978), 203-219.
  7. H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337.
  8. H. Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), 51-70.
  9. H. Niederreiter, Low-discrepancy point sets obtained by digital constructions over finite fields, Czechoslovak Math. J. 42 (1992), 143-166.
  10. K. F. Roth, On irregularities of distribution, Mathematika 1 (1954), 73-79.
  11. W. M. Schmidt, Irregularities of distribution, VII, Acta Arith. 21 (1972), 45-50.
Pages:
1-13
Main language of publication
English
Received
1991-07-24
Accepted
1992-05-20
Published
1993
Exact and natural sciences