Partial densities on the group of integers

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Partial densities on the group of integers. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 17-24

MSC: 11K06, 28C10 | MR 1751610 | Zbl 1052.11054

Keywords:
partial density; extension to density

Summary:
Conditions are obtained under which a partial density on the group of integers with the discrete topology can be extended to a density.

References:

[1] Berg, I.D and Rubel, L.A: Densities on locally compact abelian groups. Ann. Inst. Fourier (Grenoble) 19, 1 (1969), 81–107. MR 0249937

[2] Kuipers, L. and Niederreiter, H.: Uniform Distribution of Sequences. Wiley, 1974, New York. MR 0419394

[3] Niederreiter, H.: Rearrangement theorems for seguences. Collection Asterisque, Soc. Math. France (1975), 24–25, 243–261. MR 0387225

[4] Niederreiter, H. and Sookoo, N.: Partial densities on locally compact abelian groups. under preparation.

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