Let Γ ⊂ Rs be a lattice, obtained from a module in a totally real algebraic number field. Let G be an axis parallel parallelepiped, and let |G| be a volume of G. In this paper we prove that (Formula Presented.). Thus the known estimate (Formula Presented.) is exact. We obtain also a similar result for the low discrepancy sequence corresponding to Γ.
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- Lattice point problem
- Low discrepancy sequences
- Totally real algebraic number field