Uniform distribution of sequences in rings of integral quaternions
Glasgow mathematical journal, Tome 23 (1982) no. 1, pp. 21-29

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Let Z and Z[i] have their usual meaning. Let Yo denote the noncommutative ring of integral quaternions, that is the set of all elements a + bi + cj + dk with a, b, c, d ∈ Z and where i, j and k together with the number 1 are the four units of the system of quaternions.
Kuipers, L.; Shiue, Jau-Shyong. Uniform distribution of sequences in rings of integral quaternions. Glasgow mathematical journal, Tome 23 (1982) no. 1, pp. 21-29. doi: 10.1017/S0017089500004754
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[1] 1.Kuipers, L. and Niederreiter, H., Uniform distribution of sequences (Wiley-Interscience, New York, 1974). Google Scholar

[2] 2.Kuipers, L., Niederreiter, H., and Shiue, J.-S., Uniform distribution of sequences in the ring of Gaussian integers, Bull. Inst. Math. Acad. Sinica 3 (1975), 311–325. Google Scholar

[3] 3.Niederreiter, H., On a class of sequences of lattice points, J. Number Theory 4 (1972), 477–502. Google Scholar | DOI

[4] 4.Niven, I., Uniform distribution of sequences of integers, Trans. Amer. Math. Soc. 98 (1961), 52–61. Google Scholar | DOI

[5] 5.Shiue, J.-S. and Hwang, C.-P., A note on a complete residue system in the ring of integral quaternions, Soochow J. Math. Natur. Sci. 5 (1979), 193–196. Google Scholar

[6] 6.Zame, A., On a problem of Narkiewicz concerning uniform distributions of sequences of integers, Colloq. Math. 24 (1972), 271–273. Google Scholar | DOI

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