Nets obtained from rational functions over finite fields

• Autorzy: Gerhard Larcher
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 63
• Numer: 1
• Strony: 1-13

Daty

wydano

1993

otrzymano

1991-07-24

poprawiono

1992-05-20

Twórcy

autor

Gerhard Larcher

• Institut für Mathematik, Hellbrunnerstrasse 34, A-5020 Salzburg, Austria

Bibliografia

• [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.