# Nets obtained from rational functions over finite fields

Acta Arithmetica (1993)

- Volume: 63, Issue: 1, page 1-13
- ISSN: 0065-1036

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top## How to cite

topGerhard Larcher. "Nets obtained from rational functions over finite fields." Acta Arithmetica 63.1 (1993): 1-13. <http://eudml.org/doc/206504>.

@article{GerhardLarcher1993,

author = {Gerhard Larcher},

journal = {Acta Arithmetica},

keywords = {uniform distribution of sequences; nonarchimedean diophantine approximation; good-lattice-point-sequences; discrepancy},

language = {eng},

number = {1},

pages = {1-13},

title = {Nets obtained from rational functions over finite fields},

url = {http://eudml.org/doc/206504},

volume = {63},

year = {1993},

}

TY - JOUR

AU - Gerhard Larcher

TI - Nets obtained from rational functions over finite fields

JO - Acta Arithmetica

PY - 1993

VL - 63

IS - 1

SP - 1

EP - 13

LA - eng

KW - uniform distribution of sequences; nonarchimedean diophantine approximation; good-lattice-point-sequences; discrepancy

UR - http://eudml.org/doc/206504

ER -

## References

top- [1] E. Hlawka, Zur angenäherten Berechnung mehrfacher Integrale, Monatsh. Math. 66 (1962), 140-151. Zbl0105.04603
- [2] N. M. Korobov, The approximate computation on multiple integrals, Dokl. Akad. Nauk SSSR 124 (1959), 1207-1210 (in Russian). Zbl0089.04201
- [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. Zbl0584.10030
- [6] H. Niederreiter, Existence of good lattice points in the sense of Hlawka, Monatsh. Math. 86 (1978), 203-219. Zbl0395.10053
- [7] H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337. Zbl0626.10045
- [8] H. Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), 51-70. Zbl0651.10034
- [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. Zbl0057.28604
- [11] W. M. Schmidt, Irregularities of distribution, VII, Acta Arith. 21 (1972), 45-50. Zbl0244.10035

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