Proves L is k-dense iff L_n,lim is G_delta and constructs k-dense lattices with sigma_n(L_n,lim) equal to 0 or 1 via Khintchine-Groshev theorem.
Yu.,Generalized Fourier quasicrystals, almost periodic sets, and zeros of Dirichlet series.Journal of Mathematical Physics, Analy- sis, Geometry 20 (3) (2024) 279–297
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Topological and Diophantine properties of lattice subset projections
Proves L is k-dense iff L_n,lim is G_delta and constructs k-dense lattices with sigma_n(L_n,lim) equal to 0 or 1 via Khintchine-Groshev theorem.