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Uniform distribution of sequences in rings of integral matrices

Published online by Cambridge University Press:  18 May 2009

Harald Niederreiter  and
Jau-Shyong Shiue
Harald Niederreiter
Affiliation:
University of the West Indies, Kingston 7, Jamaica
Jau-Shyong Shiue
Affiliation:
National Chengchi University, Taipei, Taiwan University of South Florida, Tampa, Florida 33620, USA
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For various discrete commutative rings a concept of uniform distribution has already been introduced and studied, for example, for the ring of rational integers by Niven [9] (see also Kuipers and Niederreiter [2, Ch. 5]), for the rings of Gaussian and Eisenstein integers by Kuipers, Niederreiter, and Shiue [3], for rings of algebraic integers by Lo and Niederreiter [4], [7], and for finite fields by Gotusso [1] and Niederreiter and Shiue [8]. In the present paper, we shall show that a satisfactory theory of uniform distribution can also be developed in a noncommutative setting, namely for matrix rings over the rational integers.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 2 , July 1979 , pp. 169 - 178
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

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