Geodesic
Uniform distribution of sequences in rings of integral matrices
Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 169-178

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Niederreiter, Harald; Shiue, Jau-Shyong. Uniform distribution of sequences in rings of integral matrices. Glasgow mathematical journal, Tome 20 (1979) no. 2, pp. 169-178. doi: 10.1017/S001708950000389X
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